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Finding the Fourth Proportional to 80.16, 119.44 and 76.48

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Solution

The fourth proportional to 80.16, 119.44 and 76.48 is: 113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.16 : 119.44 = 76.48 : x
  2. Step 2: Convert to fraction form
    80.16/119.44 = 76.48/x
  3. Step 3: Cross multiply
    80.16x = 119.44 × 76.48
  4. Step 4: Simplify right side
    80.16x = 9,134.77
  5. Step 5: Solve for x
    x = 9,134.77/80.16
  6. Step 6: Final answer
    x = 113.96

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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.