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Finding the Fourth Proportional to 67.17, 100.68 and 31.12

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Solution

The fourth proportional to 67.17, 100.68 and 31.12 is: 46.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.17 : 100.68 = 31.12 : x
  2. Step 2: Convert to fraction form
    67.17/100.68 = 31.12/x
  3. Step 3: Cross multiply
    67.17x = 100.68 × 31.12
  4. Step 4: Simplify right side
    67.17x = 3,133.16
  5. Step 5: Solve for x
    x = 3,133.16/67.17
  6. Step 6: Final answer
    x = 46.65

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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.