Finding the Fourth Proportional to 152.16, 209.89 and 108.42

Step by Step Solution

1. Step 1: Write the proportion equation
   152.16 : 209.89 = 108.42 : x
2. Step 2: Convert to fraction form
   152.16/209.89 = 108.42/x
3. Step 3: Cross multiply
   152.16x = 209.89 × 108.42
4. Step 4: Simplify right side
   152.16x = 22,756.27
5. Step 5: Solve for x
   x = 22,756.27/152.16
6. Step 6: Final answer
   x = 149.55