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Finding the Fourth Proportional to 63.82, 87.99 and 41.98

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Solution

The fourth proportional to 63.82, 87.99 and 41.98 is: 57.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.82 : 87.99 = 41.98 : x
  2. Step 2: Convert to fraction form
    63.82/87.99 = 41.98/x
  3. Step 3: Cross multiply
    63.82x = 87.99 × 41.98
  4. Step 4: Simplify right side
    63.82x = 3,693.82
  5. Step 5: Solve for x
    x = 3,693.82/63.82
  6. Step 6: Final answer
    x = 57.88

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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.