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Finding the Fourth Proportional to 82.75, 124.12 and 27.91

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Solution

The fourth proportional to 82.75, 124.12 and 27.91 is: 41.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.75 : 124.12 = 27.91 : x
  2. Step 2: Convert to fraction form
    82.75/124.12 = 27.91/x
  3. Step 3: Cross multiply
    82.75x = 124.12 × 27.91
  4. Step 4: Simplify right side
    82.75x = 3,463.43
  5. Step 5: Solve for x
    x = 3,463.43/82.75
  6. Step 6: Final answer
    x = 41.86

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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.