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Finding the Fourth Proportional to 80.33, 119.78 and 71.22

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Solution

The fourth proportional to 80.33, 119.78 and 71.22 is: 106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.33 : 119.78 = 71.22 : x
  2. Step 2: Convert to fraction form
    80.33/119.78 = 71.22/x
  3. Step 3: Cross multiply
    80.33x = 119.78 × 71.22
  4. Step 4: Simplify right side
    80.33x = 8,530.91
  5. Step 5: Solve for x
    x = 8,530.91/80.33
  6. Step 6: Final answer
    x = 106.19

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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.