Finding the Fourth Proportional to 102.42, 152.32 and 100.80

Step by Step Solution

1. Step 1: Write the proportion equation
   102.42 : 152.32 = 100.80 : x
2. Step 2: Convert to fraction form
   102.42/152.32 = 100.80/x
3. Step 3: Cross multiply
   102.42x = 152.32 × 100.80
4. Step 4: Simplify right side
   102.42x = 15,353.86
5. Step 5: Solve for x
   x = 15,353.86/102.42
6. Step 6: Final answer
   x = 149.91