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Finding the Fourth Proportional to 82.74, 124.13 and 31.39

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Solution

The fourth proportional to 82.74, 124.13 and 31.39 is: 47.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.74 : 124.13 = 31.39 : x
  2. Step 2: Convert to fraction form
    82.74/124.13 = 31.39/x
  3. Step 3: Cross multiply
    82.74x = 124.13 × 31.39
  4. Step 4: Simplify right side
    82.74x = 3,896.21
  5. Step 5: Solve for x
    x = 3,896.21/82.74
  6. Step 6: Final answer
    x = 47.09

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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.