Finding the Fourth Proportional to 102.02, 152.83 and 61.34

Step by Step Solution

1. Step 1: Write the proportion equation
   102.02 : 152.83 = 61.34 : x
2. Step 2: Convert to fraction form
   102.02/152.83 = 61.34/x
3. Step 3: Cross multiply
   102.02x = 152.83 × 61.34
4. Step 4: Simplify right side
   102.02x = 9,374.59
5. Step 5: Solve for x
   x = 9,374.59/102.02
6. Step 6: Final answer
   x = 91.89