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Finding the Fourth Proportional to 80.12, 119.96 and 72.02

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Solution

The fourth proportional to 80.12, 119.96 and 72.02 is: 107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.12 : 119.96 = 72.02 : x
  2. Step 2: Convert to fraction form
    80.12/119.96 = 72.02/x
  3. Step 3: Cross multiply
    80.12x = 119.96 × 72.02
  4. Step 4: Simplify right side
    80.12x = 8,639.16
  5. Step 5: Solve for x
    x = 8,639.16/80.12
  6. Step 6: Final answer
    x = 107.83

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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.