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Finding the Fourth Proportional to 173.71, 239.64 and 108.23

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Solution

The fourth proportional to 173.71, 239.64 and 108.23 is: 149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.71 : 239.64 = 108.23 : x
  2. Step 2: Convert to fraction form
    173.71/239.64 = 108.23/x
  3. Step 3: Cross multiply
    173.71x = 239.64 × 108.23
  4. Step 4: Simplify right side
    173.71x = 25,936.24
  5. Step 5: Solve for x
    x = 25,936.24/173.71
  6. Step 6: Final answer
    x = 149.31

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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.