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Finding the Fourth Proportional to 67.97, 101.72 and 40.78

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Solution

The fourth proportional to 67.97, 101.72 and 40.78 is: 61.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.97 : 101.72 = 40.78 : x
  2. Step 2: Convert to fraction form
    67.97/101.72 = 40.78/x
  3. Step 3: Cross multiply
    67.97x = 101.72 × 40.78
  4. Step 4: Simplify right side
    67.97x = 4,148.37
  5. Step 5: Solve for x
    x = 4,148.37/67.97
  6. Step 6: Final answer
    x = 61.03

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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.