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Finding the Fourth Proportional to 80.87, 110.94 and 77.91

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Solution

The fourth proportional to 80.87, 110.94 and 77.91 is: 106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.87 : 110.94 = 77.91 : x
  2. Step 2: Convert to fraction form
    80.87/110.94 = 77.91/x
  3. Step 3: Cross multiply
    80.87x = 110.94 × 77.91
  4. Step 4: Simplify right side
    80.87x = 8,643.91
  5. Step 5: Solve for x
    x = 8,643.91/80.87
  6. Step 6: Final answer
    x = 106.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.