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Finding the Fourth Proportional to 107.28, 160.97 and 80.42

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Solution

The fourth proportional to 107.28, 160.97 and 80.42 is: 120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.28 : 160.97 = 80.42 : x
  2. Step 2: Convert to fraction form
    107.28/160.97 = 80.42/x
  3. Step 3: Cross multiply
    107.28x = 160.97 × 80.42
  4. Step 4: Simplify right side
    107.28x = 12,944.00
  5. Step 5: Solve for x
    x = 12,944.00/107.28
  6. Step 6: Final answer
    x = 120.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.