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Finding the Fourth Proportional to 80.17, 110.56 and 75.62

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Solution

The fourth proportional to 80.17, 110.56 and 75.62 is: 104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.17 : 110.56 = 75.62 : x
  2. Step 2: Convert to fraction form
    80.17/110.56 = 75.62/x
  3. Step 3: Cross multiply
    80.17x = 110.56 × 75.62
  4. Step 4: Simplify right side
    80.17x = 8,360.55
  5. Step 5: Solve for x
    x = 8,360.55/80.17
  6. Step 6: Final answer
    x = 104.29

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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.