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Finding the Fourth Proportional to 80.47, 120.71 and 22.70

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Solution

The fourth proportional to 80.47, 120.71 and 22.70 is: 34.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.47 : 120.71 = 22.70 : x
  2. Step 2: Convert to fraction form
    80.47/120.71 = 22.70/x
  3. Step 3: Cross multiply
    80.47x = 120.71 × 22.70
  4. Step 4: Simplify right side
    80.47x = 2,740.12
  5. Step 5: Solve for x
    x = 2,740.12/80.47
  6. Step 6: Final answer
    x = 34.05

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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.