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Finding the Fourth Proportional to 173.92, 261.36 and 97

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Solution

The fourth proportional to 173.92, 261.36 and 97 is: 145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.92 : 261.36 = 97 : x
  2. Step 2: Convert to fraction form
    173.92/261.36 = 97/x
  3. Step 3: Cross multiply
    173.92x = 261.36 × 97
  4. Step 4: Simplify right side
    173.92x = 25,351.92
  5. Step 5: Solve for x
    x = 25,351.92/173.92
  6. Step 6: Final answer
    x = 145.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.