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Finding the Fourth Proportional to 80.75, 120.64 and 67.84

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Solution

The fourth proportional to 80.75, 120.64 and 67.84 is: 101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.75 : 120.64 = 67.84 : x
  2. Step 2: Convert to fraction form
    80.75/120.64 = 67.84/x
  3. Step 3: Cross multiply
    80.75x = 120.64 × 67.84
  4. Step 4: Simplify right side
    80.75x = 8,183.87
  5. Step 5: Solve for x
    x = 8,183.87/80.75
  6. Step 6: Final answer
    x = 101.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.