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Finding the Fourth Proportional to 171.97, 237.26 and 116.74

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Solution

The fourth proportional to 171.97, 237.26 and 116.74 is: 161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.97 : 237.26 = 116.74 : x
  2. Step 2: Convert to fraction form
    171.97/237.26 = 116.74/x
  3. Step 3: Cross multiply
    171.97x = 237.26 × 116.74
  4. Step 4: Simplify right side
    171.97x = 27,698.32
  5. Step 5: Solve for x
    x = 27,698.32/171.97
  6. Step 6: Final answer
    x = 161.06

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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.