Finding the Fourth Proportional to 105.38, 158.16 and 100.02

Step by Step Solution

1. Step 1: Write the proportion equation
   105.38 : 158.16 = 100.02 : x
2. Step 2: Convert to fraction form
   105.38/158.16 = 100.02/x
3. Step 3: Cross multiply
   105.38x = 158.16 × 100.02
4. Step 4: Simplify right side
   105.38x = 15,819.16
5. Step 5: Solve for x
   x = 15,819.16/105.38
6. Step 6: Final answer
   x = 150.12