Finding the Fourth Proportional to 105.77, 145.99 and 71.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105.77 : 145.99 = 71.25 : x
2. Step 2: Convert to fraction form
   105.77/145.99 = 71.25/x
3. Step 3: Cross multiply
   105.77x = 145.99 × 71.25
4. Step 4: Simplify right side
   105.77x = 10,401.79
5. Step 5: Solve for x
   x = 10,401.79/105.77
6. Step 6: Final answer
   x = 98.34