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Finding the Fourth Proportional to 59.82, 82.56 and 40.42

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Solution

The fourth proportional to 59.82, 82.56 and 40.42 is: 55.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.82 : 82.56 = 40.42 : x
  2. Step 2: Convert to fraction form
    59.82/82.56 = 40.42/x
  3. Step 3: Cross multiply
    59.82x = 82.56 × 40.42
  4. Step 4: Simplify right side
    59.82x = 3,337.08
  5. Step 5: Solve for x
    x = 3,337.08/59.82
  6. Step 6: Final answer
    x = 55.79

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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.