Finding the Fourth Proportional to 100.29, 150.42 and 31.82

Step by Step Solution

1. Step 1: Write the proportion equation
   100.29 : 150.42 = 31.82 : x
2. Step 2: Convert to fraction form
   100.29/150.42 = 31.82/x
3. Step 3: Cross multiply
   100.29x = 150.42 × 31.82
4. Step 4: Simplify right side
   100.29x = 4,785.61
5. Step 5: Solve for x
   x = 4,785.61/100.29
6. Step 6: Final answer
   x = 47.72