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Finding the Fourth Proportional to 67.66, 101.42 and 31.54

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Solution

The fourth proportional to 67.66, 101.42 and 31.54 is: 47.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.66 : 101.42 = 31.54 : x
  2. Step 2: Convert to fraction form
    67.66/101.42 = 31.54/x
  3. Step 3: Cross multiply
    67.66x = 101.42 × 31.54
  4. Step 4: Simplify right side
    67.66x = 3,198.79
  5. Step 5: Solve for x
    x = 3,198.79/67.66
  6. Step 6: Final answer
    x = 47.28

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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.