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.
[[73, 26, 88, -82, 54, -62], [-29, -55, -178, -31, -16, -187], [3, 33, -6, -62, 41, 68, 59], [-62, 46, -139, 81]]