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Finding the Fourth Proportional to 59.52, 82.07 and 38.76

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Solution

The fourth proportional to 59.52, 82.07 and 38.76 is: 53.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.52 : 82.07 = 38.76 : x
  2. Step 2: Convert to fraction form
    59.52/82.07 = 38.76/x
  3. Step 3: Cross multiply
    59.52x = 82.07 × 38.76
  4. Step 4: Simplify right side
    59.52x = 3,181.03
  5. Step 5: Solve for x
    x = 3,181.03/59.52
  6. Step 6: Final answer
    x = 53.44

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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.