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Finding the Fourth Proportional to 82.56, 123.82 and 39.22

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Solution

The fourth proportional to 82.56, 123.82 and 39.22 is: 58.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.56 : 123.82 = 39.22 : x
  2. Step 2: Convert to fraction form
    82.56/123.82 = 39.22/x
  3. Step 3: Cross multiply
    82.56x = 123.82 × 39.22
  4. Step 4: Simplify right side
    82.56x = 4,856.02
  5. Step 5: Solve for x
    x = 4,856.02/82.56
  6. Step 6: Final answer
    x = 58.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.