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Finding the Fourth Proportional to 59.92, 82.62 and 40.48

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Solution

The fourth proportional to 59.92, 82.62 and 40.48 is: 55.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.92 : 82.62 = 40.48 : x
  2. Step 2: Convert to fraction form
    59.92/82.62 = 40.48/x
  3. Step 3: Cross multiply
    59.92x = 82.62 × 40.48
  4. Step 4: Simplify right side
    59.92x = 3,344.46
  5. Step 5: Solve for x
    x = 3,344.46/59.92
  6. Step 6: Final answer
    x = 55.82

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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.