Finding the Fourth Proportional to 100.02, 137.82 and 72.34

Step by Step Solution

1. Step 1: Write the proportion equation
   100.02 : 137.82 = 72.34 : x
2. Step 2: Convert to fraction form
   100.02/137.82 = 72.34/x
3. Step 3: Cross multiply
   100.02x = 137.82 × 72.34
4. Step 4: Simplify right side
   100.02x = 9,969.90
5. Step 5: Solve for x
   x = 9,969.90/100.02
6. Step 6: Final answer
   x = 99.68