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Finding the Fourth Proportional to 67.30, 100.82 and 46.70

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Solution

The fourth proportional to 67.30, 100.82 and 46.70 is: 69.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.30 : 100.82 = 46.70 : x
  2. Step 2: Convert to fraction form
    67.30/100.82 = 46.70/x
  3. Step 3: Cross multiply
    67.30x = 100.82 × 46.70
  4. Step 4: Simplify right side
    67.30x = 4,708.29
  5. Step 5: Solve for x
    x = 4,708.29/67.30
  6. Step 6: Final answer
    x = 69.96

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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.