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Finding the Fourth Proportional to 171.74, 236.97 and 97.05

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Solution

The fourth proportional to 171.74, 236.97 and 97.05 is: 133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.74 : 236.97 = 97.05 : x
  2. Step 2: Convert to fraction form
    171.74/236.97 = 97.05/x
  3. Step 3: Cross multiply
    171.74x = 236.97 × 97.05
  4. Step 4: Simplify right side
    171.74x = 22,997.94
  5. Step 5: Solve for x
    x = 22,997.94/171.74
  6. Step 6: Final answer
    x = 133.91

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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.