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Finding the Fourth Proportional to 97.34, 134.24 and 82.58

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Solution

The fourth proportional to 97.34, 134.24 and 82.58 is: 113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.34 : 134.24 = 82.58 : x
  2. Step 2: Convert to fraction form
    97.34/134.24 = 82.58/x
  3. Step 3: Cross multiply
    97.34x = 134.24 × 82.58
  4. Step 4: Simplify right side
    97.34x = 11,084.46
  5. Step 5: Solve for x
    x = 11,084.46/97.34
  6. Step 6: Final answer
    x = 113.88

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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.