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Finding the Fourth Proportional to 80.48, 111.20 and 76.96

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Solution

The fourth proportional to 80.48, 111.20 and 76.96 is: 106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.48 : 111.20 = 76.96 : x
  2. Step 2: Convert to fraction form
    80.48/111.20 = 76.96/x
  3. Step 3: Cross multiply
    80.48x = 111.20 × 76.96
  4. Step 4: Simplify right side
    80.48x = 8,557.95
  5. Step 5: Solve for x
    x = 8,557.95/80.48
  6. Step 6: Final answer
    x = 106.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.