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Finding the Fourth Proportional to 80.00, 119.34 and 77.46

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Solution

The fourth proportional to 80.00, 119.34 and 77.46 is: 115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.00 : 119.34 = 77.46 : x
  2. Step 2: Convert to fraction form
    80.00/119.34 = 77.46/x
  3. Step 3: Cross multiply
    80.00x = 119.34 × 77.46
  4. Step 4: Simplify right side
    80.00x = 9,244.08
  5. Step 5: Solve for x
    x = 9,244.08/80.00
  6. Step 6: Final answer
    x = 115.56

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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.