Finding the Fourth Proportional to 100.02, 149.67 and 92.10

Step by Step Solution

1. Step 1: Write the proportion equation
   100.02 : 149.67 = 92.10 : x
2. Step 2: Convert to fraction form
   100.02/149.67 = 92.10/x
3. Step 3: Cross multiply
   100.02x = 149.67 × 92.10
4. Step 4: Simplify right side
   100.02x = 13,784.61
5. Step 5: Solve for x
   x = 13,784.61/100.02
6. Step 6: Final answer
   x = 137.82