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Finding the Fourth Proportional to 59.59, 82.25 and 37.76

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Solution

The fourth proportional to 59.59, 82.25 and 37.76 is: 52.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.59 : 82.25 = 37.76 : x
  2. Step 2: Convert to fraction form
    59.59/82.25 = 37.76/x
  3. Step 3: Cross multiply
    59.59x = 82.25 × 37.76
  4. Step 4: Simplify right side
    59.59x = 3,105.30
  5. Step 5: Solve for x
    x = 3,105.30/59.59
  6. Step 6: Final answer
    x = 52.11

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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.