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Finding the Fourth Proportional to 173.27, 239.10 and 107.76

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Solution

The fourth proportional to 173.27, 239.10 and 107.76 is: 148.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.27 : 239.10 = 107.76 : x
  2. Step 2: Convert to fraction form
    173.27/239.10 = 107.76/x
  3. Step 3: Cross multiply
    173.27x = 239.10 × 107.76
  4. Step 4: Simplify right side
    173.27x = 25,765.42
  5. Step 5: Solve for x
    x = 25,765.42/173.27
  6. Step 6: Final answer
    x = 148.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.