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Finding the Fourth Proportional to 80.17, 120.89 and 79.29

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Solution

The fourth proportional to 80.17, 120.89 and 79.29 is: 119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.17 : 120.89 = 79.29 : x
  2. Step 2: Convert to fraction form
    80.17/120.89 = 79.29/x
  3. Step 3: Cross multiply
    80.17x = 120.89 × 79.29
  4. Step 4: Simplify right side
    80.17x = 9,585.57
  5. Step 5: Solve for x
    x = 9,585.57/80.17
  6. Step 6: Final answer
    x = 119.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.