Finding the Fourth Proportional to 105.32, 145.14 and 83.15

Step by Step Solution

1. Step 1: Write the proportion equation
   105.32 : 145.14 = 83.15 : x
2. Step 2: Convert to fraction form
   105.32/145.14 = 83.15/x
3. Step 3: Cross multiply
   105.32x = 145.14 × 83.15
4. Step 4: Simplify right side
   105.32x = 12,067.67
5. Step 5: Solve for x
   x = 12,067.67/105.32
6. Step 6: Final answer
   x = 114.59