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Finding the Fourth Proportional to 65.97, 98.91 and 31.71

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Solution

The fourth proportional to 65.97, 98.91 and 31.71 is: 47.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.97 : 98.91 = 31.71 : x
  2. Step 2: Convert to fraction form
    65.97/98.91 = 31.71/x
  3. Step 3: Cross multiply
    65.97x = 98.91 × 31.71
  4. Step 4: Simplify right side
    65.97x = 3,136.44
  5. Step 5: Solve for x
    x = 3,136.44/65.97
  6. Step 6: Final answer
    x = 47.54

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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.