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Finding the Fourth Proportional to 67.41, 100.89 and 53.79

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Solution

The fourth proportional to 67.41, 100.89 and 53.79 is: 80.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.41 : 100.89 = 53.79 : x
  2. Step 2: Convert to fraction form
    67.41/100.89 = 53.79/x
  3. Step 3: Cross multiply
    67.41x = 100.89 × 53.79
  4. Step 4: Simplify right side
    67.41x = 5,426.87
  5. Step 5: Solve for x
    x = 5,426.87/67.41
  6. Step 6: Final answer
    x = 80.51

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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.