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Finding the Fourth Proportional to 80.94, 110.20 and 80.68

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Solution

The fourth proportional to 80.94, 110.20 and 80.68 is: 109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.94 : 110.20 = 80.68 : x
  2. Step 2: Convert to fraction form
    80.94/110.20 = 80.68/x
  3. Step 3: Cross multiply
    80.94x = 110.20 × 80.68
  4. Step 4: Simplify right side
    80.94x = 8,891.53
  5. Step 5: Solve for x
    x = 8,891.53/80.94
  6. Step 6: Final answer
    x = 109.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.