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Finding the Fourth Proportional to 67.53, 101.24 and 31.44

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Solution

The fourth proportional to 67.53, 101.24 and 31.44 is: 47.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.53 : 101.24 = 31.44 : x
  2. Step 2: Convert to fraction form
    67.53/101.24 = 31.44/x
  3. Step 3: Cross multiply
    67.53x = 101.24 × 31.44
  4. Step 4: Simplify right side
    67.53x = 3,182.56
  5. Step 5: Solve for x
    x = 3,182.56/67.53
  6. Step 6: Final answer
    x = 47.13

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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.