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Finding the Fourth Proportional to 80.71, 120.24 and 76.84

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Solution

The fourth proportional to 80.71, 120.24 and 76.84 is: 114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.71 : 120.24 = 76.84 : x
  2. Step 2: Convert to fraction form
    80.71/120.24 = 76.84/x
  3. Step 3: Cross multiply
    80.71x = 120.24 × 76.84
  4. Step 4: Simplify right side
    80.71x = 9,239.54
  5. Step 5: Solve for x
    x = 9,239.54/80.71
  6. Step 6: Final answer
    x = 114.47

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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.