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Finding the Fourth Proportional to 59.87, 82.62 and 40.47

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Solution

The fourth proportional to 59.87, 82.62 and 40.47 is: 55.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.87 : 82.62 = 40.47 : x
  2. Step 2: Convert to fraction form
    59.87/82.62 = 40.47/x
  3. Step 3: Cross multiply
    59.87x = 82.62 × 40.47
  4. Step 4: Simplify right side
    59.87x = 3,343.63
  5. Step 5: Solve for x
    x = 3,343.63/59.87
  6. Step 6: Final answer
    x = 55.85

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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.