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Finding the Fourth Proportional to 80.18, 119.51 and 76.12

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Solution

The fourth proportional to 80.18, 119.51 and 76.12 is: 113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.18 : 119.51 = 76.12 : x
  2. Step 2: Convert to fraction form
    80.18/119.51 = 76.12/x
  3. Step 3: Cross multiply
    80.18x = 119.51 × 76.12
  4. Step 4: Simplify right side
    80.18x = 9,097.10
  5. Step 5: Solve for x
    x = 9,097.10/80.18
  6. Step 6: Final answer
    x = 113.46

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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.