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Finding the Fourth Proportional to 59.62, 82.24 and 37.74

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Solution

The fourth proportional to 59.62, 82.24 and 37.74 is: 52.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.62 : 82.24 = 37.74 : x
  2. Step 2: Convert to fraction form
    59.62/82.24 = 37.74/x
  3. Step 3: Cross multiply
    59.62x = 82.24 × 37.74
  4. Step 4: Simplify right side
    59.62x = 3,103.74
  5. Step 5: Solve for x
    x = 3,103.74/59.62
  6. Step 6: Final answer
    x = 52.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.