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Finding the Fourth Proportional to 171.96, 237.48 and 116.76

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Solution

The fourth proportional to 171.96, 237.48 and 116.76 is: 161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.96 : 237.48 = 116.76 : x
  2. Step 2: Convert to fraction form
    171.96/237.48 = 116.76/x
  3. Step 3: Cross multiply
    171.96x = 237.48 × 116.76
  4. Step 4: Simplify right side
    171.96x = 27,728.16
  5. Step 5: Solve for x
    x = 27,728.16/171.96
  6. Step 6: Final answer
    x = 161.25

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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.