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Finding the Fourth Proportional to 82.60, 123.17 and 75.76

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Solution

The fourth proportional to 82.60, 123.17 and 75.76 is: 112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.60 : 123.17 = 75.76 : x
  2. Step 2: Convert to fraction form
    82.60/123.17 = 75.76/x
  3. Step 3: Cross multiply
    82.60x = 123.17 × 75.76
  4. Step 4: Simplify right side
    82.60x = 9,331.36
  5. Step 5: Solve for x
    x = 9,331.36/82.60
  6. Step 6: Final answer
    x = 112.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.