Here is scenario in which KIA wins 67 additional games (95 total) but does not reach the postseason.

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
              KT	96	47	1	0.6713	0.0
         Samsung	95	47	2	0.6690	0.5
          Hanwha	96	48	0	0.6667	0.5
          Doosan	95	48	1	0.6643	1.0	See explanation of tie-breakers below.
              LG	95	48	1	0.6643	1.0	See explanation of tie-breakers below.
             KIA	95	48	1	0.6643	1.0	See explanation of tie-breakers below.
             SSG	53	90	1	0.3706	43.0
           Lotte	36	107	1	0.2517	60.0
          Kiwoom	30	113	1	0.2098	66.0
              NC	24	119	1	0.1678	72.0

Explanation of Tie-breakers:
The following table shows how many games each of the teams tied for fifth place in the scenario have already won against each other:
Team	Doosan	KIA	LG	Total
Doosan	-	3	2	5
KIA	3	-	2	5
LG	4	6	-	10

The following table shows how many additional games each of the teams tied for fifth place win against each other in the scenario:
Team	Doosan	KIA	LG	Total
Doosan	-	10	0	10
KIA	0	-	0	0
LG	10	8	-	18

The following table shows how many games total each of the teams tied for fifth place win against each other in the scenario:
Team	Doosan	KIA	LG	Total
Doosan	-	13	2	15
KIA	3	-	2	5
LG	14	14	-	28


To construct the scenario, we start with the current standings:
            Team	W	L	D	GL	PCT	GB
              LG	33	20	0	91	0.623	0.0
              KT	32	20	1	91	0.615	0.5
         Samsung	31	20	1	92	0.608	1.0
             KIA	28	25	1	90	0.528	5.0
          Hanwha	27	25	0	92	0.519	5.5
          Doosan	25	28	1	90	0.472	8.0
              NC	22	29	1	92	0.431	10.0
             SSG	22	30	1	91	0.423	10.5
           Lotte	21	30	1	92	0.412	11.0
          Kiwoom	20	34	1	89	0.370	13.5

The next two tables show, respectively, how many of their remaining games each team wins and ties against each of the other teams in the scenario:

					Scenario Additional Wins Against
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Wins
Doosan	-	6	10	11	9	0	10	12	2	10	70
Hanwha	4	-	3	11	10	10	12	11	0	8	69
KIA	0	7	-	10	8	0	10	10	11	11	67
Kiwoom	0	0	0	-	0	0	0	10	0	0	10
KT	1	0	2	7	-	11	12	10	11	10	64
LG	10	0	8	10	0	-	10	11	3	10	62
Lotte	0	0	0	10	0	0	-	5	0	0	15
NC	0	0	0	0	0	0	2	-	0	0	2
Samsung	5	10	0	10	0	7	11	10	-	11	64
SSG	0	0	0	10	0	0	10	11	0	-	31
-----------------------------------------------------------------------------------
Losses	20	23	23	79	27	28	77	90	27	60

					Scenario Additional Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	0	0	0	0	0	0	0	1	0	0
Hanwha	0	-	0	0	0	0	0	0	0	0	0
KIA	0	0	-	0	0	0	1	0	0	0	0
Kiwoom	0	0	0	-	1	0	0	0	0	0	0
KT	0	0	0	0	-	0	0	0	0	0	0
LG	0	0	0	0	0	-	0	0	1	0	1
Lotte	0	0	0	0	0	0	-	0	0	0	0
NC	0	0	0	0	0	0	0	-	0	1	0
Samsung	0	0	0	0	0	1	0	0	-	0	1
SSG	0	0	0	0	0	0	0	0	0	-	0
-----------------------------------------------------------------------------------
Total	0	0	0	0	0	1	0	0	1	0

The next two tables show, respectively, how many total games each team wins and ties against each of the other teams in the scenario:

					Scenario Total Wins Against
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Wins
Doosan	-	7	13	14	11	2	14	15	6	13	95
Hanwha	9	-	5	15	12	13	14	13	1	14	96
KIA	3	11	-	16	9	2	14	12	14	14	95
Kiwoom	2	1	0	-	2	2	2	14	3	4	30
KT	5	4	7	13	-	15	14	14	12	12	96
LG	14	3	14	14	1	-	14	15	5	15	95
Lotte	2	2	1	14	2	2	-	7	3	3	36
NC	1	3	4	2	2	1	9	-	0	2	24
Samsung	9	15	2	13	4	10	13	16	-	13	95
SSG	3	2	2	12	4	1	13	13	3	-	53
-----------------------------------------------------------------------------------
Losses	48	48	48	113	47	48	107	119	47	90

					Scenario Total Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	0	0	0	0	0	0	0	1	0	1
Hanwha	0	-	0	0	0	0	0	0	0	0	0
KIA	0	0	-	0	0	0	1	0	0	0	1
Kiwoom	0	0	0	-	1	0	0	0	0	0	1
KT	0	0	0	0	-	0	0	0	0	0	1
LG	0	0	0	0	0	-	0	0	1	0	1
Lotte	0	0	0	0	0	0	-	0	0	0	1
NC	0	0	0	0	0	0	0	-	0	1	1
Samsung	0	0	0	0	0	1	0	0	-	0	2
SSG	0	0	0	0	0	0	0	0	0	-	1
-----------------------------------------------------------------------------------
Total	1	0	1	1	1	1	1	1	2	1

KIA has clinched a postseason berth.
Here are the current standings:
            Team	W	L	D	GL	PCT	GB
              LG	33	20	0	91	0.623	0.0
              KT	32	20	1	91	0.615	0.5
         Samsung	31	20	1	92	0.608	1.0
             KIA	28	25	1	90	0.528	5.0
          Hanwha	27	25	0	92	0.519	5.5
          Doosan	25	28	1	90	0.472	8.0
              NC	22	29	1	92	0.431	10.0
             SSG	22	30	1	91	0.423	10.5
           Lotte	21	30	1	92	0.412	11.0
          Kiwoom	20	34	1	89	0.370	13.5

KIA's worst possible winning percentage is 0.1958  (28 wins, 115 losses, and 1 draws).
KIA will finish ahead the following teams: