Finding the Fourth Proportional to 105.34, 145.34 and 72.52

Step by Step Solution

1. Step 1: Write the proportion equation
   105.34 : 145.34 = 72.52 : x
2. Step 2: Convert to fraction form
   105.34/145.34 = 72.52/x
3. Step 3: Cross multiply
   105.34x = 145.34 × 72.52
4. Step 4: Simplify right side
   105.34x = 10,540.06
5. Step 5: Solve for x
   x = 10,540.06/105.34
6. Step 6: Final answer
   x = 100.06