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Finding the Fourth Proportional to 82.28, 124.13 and 76.82

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Solution

The fourth proportional to 82.28, 124.13 and 76.82 is: 115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.28 : 124.13 = 76.82 : x
  2. Step 2: Convert to fraction form
    82.28/124.13 = 76.82/x
  3. Step 3: Cross multiply
    82.28x = 124.13 × 76.82
  4. Step 4: Simplify right side
    82.28x = 9,535.67
  5. Step 5: Solve for x
    x = 9,535.67/82.28
  6. Step 6: Final answer
    x = 115.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.