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Finding the Fourth Proportional to 67.14, 100.76 and 31.09

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Solution

The fourth proportional to 67.14, 100.76 and 31.09 is: 46.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.14 : 100.76 = 31.09 : x
  2. Step 2: Convert to fraction form
    67.14/100.76 = 31.09/x
  3. Step 3: Cross multiply
    67.14x = 100.76 × 31.09
  4. Step 4: Simplify right side
    67.14x = 3,132.47
  5. Step 5: Solve for x
    x = 3,132.47/67.14
  6. Step 6: Final answer
    x = 46.66

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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.