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Finding the Fourth Proportional to 63.53, 87.66 and 41.71

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Solution

The fourth proportional to 63.53, 87.66 and 41.71 is: 57.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.53 : 87.66 = 41.71 : x
  2. Step 2: Convert to fraction form
    63.53/87.66 = 41.71/x
  3. Step 3: Cross multiply
    63.53x = 87.66 × 41.71
  4. Step 4: Simplify right side
    63.53x = 3,656.30
  5. Step 5: Solve for x
    x = 3,656.30/63.53
  6. Step 6: Final answer
    x = 57.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.