In this task, you are given a list. This list contains many lists of integers. The list is several items written within a []. Your task is to find the maximum number among the members of each inner list. The output should be a list comprised of the maximums with the same order as the internal lists.
[[99, 98, 56, 53, -188], [-24, -102, -85], [-15, -169], [99, 98, 1, 99]]