Finding the Fourth Proportional to 105.37, 145.25 and 83.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105.37 : 145.25 = 83.50 : x
2. Step 2: Convert to fraction form
   105.37/145.25 = 83.50/x
3. Step 3: Cross multiply
   105.37x = 145.25 × 83.50
4. Step 4: Simplify right side
   105.37x = 12,127.23
5. Step 5: Solve for x
   x = 12,127.23/105.37
6. Step 6: Final answer
   x = 115.10