Finding the Fourth Proportional to 105.49, 145.56 and 72.82

Step by Step Solution

1. Step 1: Write the proportion equation
   105.49 : 145.56 = 72.82 : x
2. Step 2: Convert to fraction form
   105.49/145.56 = 72.82/x
3. Step 3: Cross multiply
   105.49x = 145.56 × 72.82
4. Step 4: Simplify right side
   105.49x = 10,599.68
5. Step 5: Solve for x
   x = 10,599.68/105.49
6. Step 6: Final answer
   x = 100.48