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Finding the Fourth Proportional to 67.74, 101.70 and 51.81

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Solution

The fourth proportional to 67.74, 101.70 and 51.81 is: 77.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.74 : 101.70 = 51.81 : x
  2. Step 2: Convert to fraction form
    67.74/101.70 = 51.81/x
  3. Step 3: Cross multiply
    67.74x = 101.70 × 51.81
  4. Step 4: Simplify right side
    67.74x = 5,269.08
  5. Step 5: Solve for x
    x = 5,269.08/67.74
  6. Step 6: Final answer
    x = 77.78

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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.