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Finding the Fourth Proportional to 80.35, 119.71 and 76.40

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Solution

The fourth proportional to 80.35, 119.71 and 76.40 is: 113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.35 : 119.71 = 76.40 : x
  2. Step 2: Convert to fraction form
    80.35/119.71 = 76.40/x
  3. Step 3: Cross multiply
    80.35x = 119.71 × 76.40
  4. Step 4: Simplify right side
    80.35x = 9,145.46
  5. Step 5: Solve for x
    x = 9,145.46/80.35
  6. Step 6: Final answer
    x = 113.82

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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.