To find the fourth proportional of a set of three numbers, you can use the following formula:
Fourth Proportional (P) = (Third Number * Second Number) / First Number
Let's calculate it for both sets:
(i) For the set (18, 54, 6):
P = (6 * 54) / 18 = 324 / 18 = 18
So, the fourth proportional of 18, 54, and 6 is 18.
(ii) For the set (30, 32, 42):
P = (42 * 32) / 30 = 1344 / 30 = 44.8
So, the fourth proportional of 30, 32, and 42 is 44.8.