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Finding the Fourth Proportional to 81.97, 113.02 and 54.32

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Solution

The fourth proportional to 81.97, 113.02 and 54.32 is: 74.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.97 : 113.02 = 54.32 : x
  2. Step 2: Convert to fraction form
    81.97/113.02 = 54.32/x
  3. Step 3: Cross multiply
    81.97x = 113.02 × 54.32
  4. Step 4: Simplify right side
    81.97x = 6,138.55
  5. Step 5: Solve for x
    x = 6,138.55/81.97
  6. Step 6: Final answer
    x = 74.89

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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.