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Finding the Fourth Proportional to 59.52, 82.13 and 37.65

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Solution

The fourth proportional to 59.52, 82.13 and 37.65 is: 51.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.52 : 82.13 = 37.65 : x
  2. Step 2: Convert to fraction form
    59.52/82.13 = 37.65/x
  3. Step 3: Cross multiply
    59.52x = 82.13 × 37.65
  4. Step 4: Simplify right side
    59.52x = 3,092.01
  5. Step 5: Solve for x
    x = 3,092.01/59.52
  6. Step 6: Final answer
    x = 51.95

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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.