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Finding the Fourth Proportional to 80.10, 119.73 and 78.18

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Solution

The fourth proportional to 80.10, 119.73 and 78.18 is: 116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.10 : 119.73 = 78.18 : x
  2. Step 2: Convert to fraction form
    80.10/119.73 = 78.18/x
  3. Step 3: Cross multiply
    80.10x = 119.73 × 78.18
  4. Step 4: Simplify right side
    80.10x = 9,360.10
  5. Step 5: Solve for x
    x = 9,360.10/80.10
  6. Step 6: Final answer
    x = 116.86

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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.