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Finding the Fourth Proportional to 173.78, 239.65 and 123.97

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Solution

The fourth proportional to 173.78, 239.65 and 123.97 is: 170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.78 : 239.65 = 123.97 : x
  2. Step 2: Convert to fraction form
    173.78/239.65 = 123.97/x
  3. Step 3: Cross multiply
    173.78x = 239.65 × 123.97
  4. Step 4: Simplify right side
    173.78x = 29,709.41
  5. Step 5: Solve for x
    x = 29,709.41/173.78
  6. Step 6: Final answer
    x = 170.96

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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.