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Finding the Fourth Proportional to 97.20, 134.01 and 82.62

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Solution

The fourth proportional to 97.20, 134.01 and 82.62 is: 113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.20 : 134.01 = 82.62 : x
  2. Step 2: Convert to fraction form
    97.20/134.01 = 82.62/x
  3. Step 3: Cross multiply
    97.20x = 134.01 × 82.62
  4. Step 4: Simplify right side
    97.20x = 11,071.91
  5. Step 5: Solve for x
    x = 11,071.91/97.20
  6. Step 6: Final answer
    x = 113.91

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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.