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Finding the Fourth Proportional to 97.32, 134.30 and 72.71

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Solution

The fourth proportional to 97.32, 134.30 and 72.71 is: 100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.32 : 134.30 = 72.71 : x
  2. Step 2: Convert to fraction form
    97.32/134.30 = 72.71/x
  3. Step 3: Cross multiply
    97.32x = 134.30 × 72.71
  4. Step 4: Simplify right side
    97.32x = 9,765.48
  5. Step 5: Solve for x
    x = 9,765.48/97.32
  6. Step 6: Final answer
    x = 100.35

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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.