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Finding the Fourth Proportional to 67.98, 101.97 and 33.77

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Solution

The fourth proportional to 67.98, 101.97 and 33.77 is: 50.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.98 : 101.97 = 33.77 : x
  2. Step 2: Convert to fraction form
    67.98/101.97 = 33.77/x
  3. Step 3: Cross multiply
    67.98x = 101.97 × 33.77
  4. Step 4: Simplify right side
    67.98x = 3,443.61
  5. Step 5: Solve for x
    x = 3,443.61/67.98
  6. Step 6: Final answer
    x = 50.66

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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.