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Finding the Fourth Proportional to 173.77, 239.67 and 108.31

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Solution

The fourth proportional to 173.77, 239.67 and 108.31 is: 149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.77 : 239.67 = 108.31 : x
  2. Step 2: Convert to fraction form
    173.77/239.67 = 108.31/x
  3. Step 3: Cross multiply
    173.77x = 239.67 × 108.31
  4. Step 4: Simplify right side
    173.77x = 25,958.66
  5. Step 5: Solve for x
    x = 25,958.66/173.77
  6. Step 6: Final answer
    x = 149.39

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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.