Finding the Fourth Proportional to 102.08, 152.31 and 91.82

Step by Step Solution

1. Step 1: Write the proportion equation
   102.08 : 152.31 = 91.82 : x
2. Step 2: Convert to fraction form
   102.08/152.31 = 91.82/x
3. Step 3: Cross multiply
   102.08x = 152.31 × 91.82
4. Step 4: Simplify right side
   102.08x = 13,985.10
5. Step 5: Solve for x
   x = 13,985.10/102.08
6. Step 6: Final answer
   x = 137.00