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Finding the Fourth Proportional to 104.97, 144.95 and 101.53

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Solution

The fourth proportional to 104.97, 144.95 and 101.53 is: 140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.97 : 144.95 = 101.53 : x
  2. Step 2: Convert to fraction form
    104.97/144.95 = 101.53/x
  3. Step 3: Cross multiply
    104.97x = 144.95 × 101.53
  4. Step 4: Simplify right side
    104.97x = 14,716.75
  5. Step 5: Solve for x
    x = 14,716.75/104.97
  6. Step 6: Final answer
    x = 140.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.