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Finding the Fourth Proportional to 80.36, 119.68 and 76.85

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Solution

The fourth proportional to 80.36, 119.68 and 76.85 is: 114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.36 : 119.68 = 76.85 : x
  2. Step 2: Convert to fraction form
    80.36/119.68 = 76.85/x
  3. Step 3: Cross multiply
    80.36x = 119.68 × 76.85
  4. Step 4: Simplify right side
    80.36x = 9,197.41
  5. Step 5: Solve for x
    x = 9,197.41/80.36
  6. Step 6: Final answer
    x = 114.45

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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.