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Finding the Fourth Proportional to 83.75, 115.58 and 49.25

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Solution

The fourth proportional to 83.75, 115.58 and 49.25 is: 67.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.75 : 115.58 = 49.25 : x
  2. Step 2: Convert to fraction form
    83.75/115.58 = 49.25/x
  3. Step 3: Cross multiply
    83.75x = 115.58 × 49.25
  4. Step 4: Simplify right side
    83.75x = 5,692.32
  5. Step 5: Solve for x
    x = 5,692.32/83.75
  6. Step 6: Final answer
    x = 67.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.