Finding the Fourth Proportional to 105.71, 145.83 and 105.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105.71 : 145.83 = 105.25 : x
2. Step 2: Convert to fraction form
   105.71/145.83 = 105.25/x
3. Step 3: Cross multiply
   105.71x = 145.83 × 105.25
4. Step 4: Simplify right side
   105.71x = 15,348.61
5. Step 5: Solve for x
   x = 15,348.61/105.71
6. Step 6: Final answer
   x = 145.20