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Finding the Fourth Proportional to 80.14, 119.77 and 71.68

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Solution

The fourth proportional to 80.14, 119.77 and 71.68 is: 107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.14 : 119.77 = 71.68 : x
  2. Step 2: Convert to fraction form
    80.14/119.77 = 71.68/x
  3. Step 3: Cross multiply
    80.14x = 119.77 × 71.68
  4. Step 4: Simplify right side
    80.14x = 8,585.11
  5. Step 5: Solve for x
    x = 8,585.11/80.14
  6. Step 6: Final answer
    x = 107.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.