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Finding the Fourth Proportional to 67.30, 100.96 and 31.22

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Solution

The fourth proportional to 67.30, 100.96 and 31.22 is: 46.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.30 : 100.96 = 31.22 : x
  2. Step 2: Convert to fraction form
    67.30/100.96 = 31.22/x
  3. Step 3: Cross multiply
    67.30x = 100.96 × 31.22
  4. Step 4: Simplify right side
    67.30x = 3,151.97
  5. Step 5: Solve for x
    x = 3,151.97/67.30
  6. Step 6: Final answer
    x = 46.83

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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.