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Finding the Fourth Proportional to 80.10, 120.09 and 34.47

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Solution

The fourth proportional to 80.10, 120.09 and 34.47 is: 51.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.10 : 120.09 = 34.47 : x
  2. Step 2: Convert to fraction form
    80.10/120.09 = 34.47/x
  3. Step 3: Cross multiply
    80.10x = 120.09 × 34.47
  4. Step 4: Simplify right side
    80.10x = 4,139.50
  5. Step 5: Solve for x
    x = 4,139.50/80.10
  6. Step 6: Final answer
    x = 51.68

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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.