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Finding the Fourth Proportional to 173.74, 239.76 and 108.24

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Solution

The fourth proportional to 173.74, 239.76 and 108.24 is: 149.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.74 : 239.76 = 108.24 : x
  2. Step 2: Convert to fraction form
    173.74/239.76 = 108.24/x
  3. Step 3: Cross multiply
    173.74x = 239.76 × 108.24
  4. Step 4: Simplify right side
    173.74x = 25,951.62
  5. Step 5: Solve for x
    x = 25,951.62/173.74
  6. Step 6: Final answer
    x = 149.37

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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.