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Finding the Fourth Proportional to 97.56, 134.72 and 81.30

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Solution

The fourth proportional to 97.56, 134.72 and 81.30 is: 112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.56 : 134.72 = 81.30 : x
  2. Step 2: Convert to fraction form
    97.56/134.72 = 81.30/x
  3. Step 3: Cross multiply
    97.56x = 134.72 × 81.30
  4. Step 4: Simplify right side
    97.56x = 10,952.74
  5. Step 5: Solve for x
    x = 10,952.74/97.56
  6. Step 6: Final answer
    x = 112.27

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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.