Finding the Fourth Proportional to 105.14, 144.93 and 100.82

Step by Step Solution

1. Step 1: Write the proportion equation
   105.14 : 144.93 = 100.82 : x
2. Step 2: Convert to fraction form
   105.14/144.93 = 100.82/x
3. Step 3: Cross multiply
   105.14x = 144.93 × 100.82
4. Step 4: Simplify right side
   105.14x = 14,611.84
5. Step 5: Solve for x
   x = 14,611.84/105.14
6. Step 6: Final answer
   x = 138.98