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Finding the Fourth Proportional to 116.67, 173.98 and 108.31

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Solution

The fourth proportional to 116.67, 173.98 and 108.31 is: 161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.67 : 173.98 = 108.31 : x
  2. Step 2: Convert to fraction form
    116.67/173.98 = 108.31/x
  3. Step 3: Cross multiply
    116.67x = 173.98 × 108.31
  4. Step 4: Simplify right side
    116.67x = 18,843.07
  5. Step 5: Solve for x
    x = 18,843.07/116.67
  6. Step 6: Final answer
    x = 161.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.