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Finding the Fourth Proportional to 79.73, 119.60 and 34.09

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Solution

The fourth proportional to 79.73, 119.60 and 34.09 is: 51.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.73 : 119.60 = 34.09 : x
  2. Step 2: Convert to fraction form
    79.73/119.60 = 34.09/x
  3. Step 3: Cross multiply
    79.73x = 119.60 × 34.09
  4. Step 4: Simplify right side
    79.73x = 4,077.16
  5. Step 5: Solve for x
    x = 4,077.16/79.73
  6. Step 6: Final answer
    x = 51.14

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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.