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Finding the Fourth Proportional to 63.71, 95.61 and 40.80

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Solution

The fourth proportional to 63.71, 95.61 and 40.80 is: 61.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.71 : 95.61 = 40.80 : x
  2. Step 2: Convert to fraction form
    63.71/95.61 = 40.80/x
  3. Step 3: Cross multiply
    63.71x = 95.61 × 40.80
  4. Step 4: Simplify right side
    63.71x = 3,900.89
  5. Step 5: Solve for x
    x = 3,900.89/63.71
  6. Step 6: Final answer
    x = 61.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.