Finding the Fourth Proportional to 102.05, 152.27 and 91.83

Step by Step Solution

1. Step 1: Write the proportion equation
   102.05 : 152.27 = 91.83 : x
2. Step 2: Convert to fraction form
   102.05/152.27 = 91.83/x
3. Step 3: Cross multiply
   102.05x = 152.27 × 91.83
4. Step 4: Simplify right side
   102.05x = 13,982.95
5. Step 5: Solve for x
   x = 13,982.95/102.05
6. Step 6: Final answer
   x = 137.02