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Finding the Fourth Proportional to 67.13, 100.72 and 38.63

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Solution

The fourth proportional to 67.13, 100.72 and 38.63 is: 57.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.13 : 100.72 = 38.63 : x
  2. Step 2: Convert to fraction form
    67.13/100.72 = 38.63/x
  3. Step 3: Cross multiply
    67.13x = 100.72 × 38.63
  4. Step 4: Simplify right side
    67.13x = 3,890.81
  5. Step 5: Solve for x
    x = 3,890.81/67.13
  6. Step 6: Final answer
    x = 57.96

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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.