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Finding the Fourth Proportional to 103.88, 155.91 and 67.85

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Solution

The fourth proportional to 103.88, 155.91 and 67.85 is: 101.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.88 : 155.91 = 67.85 : x
  2. Step 2: Convert to fraction form
    103.88/155.91 = 67.85/x
  3. Step 3: Cross multiply
    103.88x = 155.91 × 67.85
  4. Step 4: Simplify right side
    103.88x = 10,578.49
  5. Step 5: Solve for x
    x = 10,578.49/103.88
  6. Step 6: Final answer
    x = 101.83

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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.