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Finding the Fourth Proportional to 67.62, 101.36 and 31.60

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Solution

The fourth proportional to 67.62, 101.36 and 31.60 is: 47.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.62 : 101.36 = 31.60 : x
  2. Step 2: Convert to fraction form
    67.62/101.36 = 31.60/x
  3. Step 3: Cross multiply
    67.62x = 101.36 × 31.60
  4. Step 4: Simplify right side
    67.62x = 3,202.98
  5. Step 5: Solve for x
    x = 3,202.98/67.62
  6. Step 6: Final answer
    x = 47.37

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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.