Finding the Fourth Proportional to 105.16, 145.17 and 83.32

Step by Step Solution

1. Step 1: Write the proportion equation
   105.16 : 145.17 = 83.32 : x
2. Step 2: Convert to fraction form
   105.16/145.17 = 83.32/x
3. Step 3: Cross multiply
   105.16x = 145.17 × 83.32
4. Step 4: Simplify right side
   105.16x = 12,095.56
5. Step 5: Solve for x
   x = 12,095.56/105.16
6. Step 6: Final answer
   x = 115.02