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Finding the Fourth Proportional to 67.30, 100.17 and 67.10

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Solution

The fourth proportional to 67.30, 100.17 and 67.10 is: 99.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.30 : 100.17 = 67.10 : x
  2. Step 2: Convert to fraction form
    67.30/100.17 = 67.10/x
  3. Step 3: Cross multiply
    67.30x = 100.17 × 67.10
  4. Step 4: Simplify right side
    67.30x = 6,721.41
  5. Step 5: Solve for x
    x = 6,721.41/67.30
  6. Step 6: Final answer
    x = 99.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.