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Finding the Fourth Proportional to 96.97, 144.85 and 81.59

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Solution

The fourth proportional to 96.97, 144.85 and 81.59 is: 121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.97 : 144.85 = 81.59 : x
  2. Step 2: Convert to fraction form
    96.97/144.85 = 81.59/x
  3. Step 3: Cross multiply
    96.97x = 144.85 × 81.59
  4. Step 4: Simplify right side
    96.97x = 11,818.31
  5. Step 5: Solve for x
    x = 11,818.31/96.97
  6. Step 6: Final answer
    x = 121.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.