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.
[[-88, 43, -34, -163], [-96, -169, -113], [27, 39, -125, -176, -61, -13, -154], [-120, 53, 81, -2]]