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Finding the Fourth Proportional to 67.97, 102.01 and 31.42

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Solution

The fourth proportional to 67.97, 102.01 and 31.42 is: 47.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.97 : 102.01 = 31.42 : x
  2. Step 2: Convert to fraction form
    67.97/102.01 = 31.42/x
  3. Step 3: Cross multiply
    67.97x = 102.01 × 31.42
  4. Step 4: Simplify right side
    67.97x = 3,205.15
  5. Step 5: Solve for x
    x = 3,205.15/67.97
  6. Step 6: Final answer
    x = 47.16

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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.