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Finding the Fourth Proportional to 63.63, 87.82 and 41.80

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Solution

The fourth proportional to 63.63, 87.82 and 41.80 is: 57.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.63 : 87.82 = 41.80 : x
  2. Step 2: Convert to fraction form
    63.63/87.82 = 41.80/x
  3. Step 3: Cross multiply
    63.63x = 87.82 × 41.80
  4. Step 4: Simplify right side
    63.63x = 3,670.44
  5. Step 5: Solve for x
    x = 3,670.44/63.63
  6. Step 6: Final answer
    x = 57.69

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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.