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Finding the Fourth Proportional to 67.01, 100.34 and 49.91

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Solution

The fourth proportional to 67.01, 100.34 and 49.91 is: 74.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.01 : 100.34 = 49.91 : x
  2. Step 2: Convert to fraction form
    67.01/100.34 = 49.91/x
  3. Step 3: Cross multiply
    67.01x = 100.34 × 49.91
  4. Step 4: Simplify right side
    67.01x = 5,007.72
  5. Step 5: Solve for x
    x = 5,007.72/67.01
  6. Step 6: Final answer
    x = 74.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.