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Finding the Fourth Proportional to 167.67, 231.37 and 102.16

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Solution

The fourth proportional to 167.67, 231.37 and 102.16 is: 140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.67 : 231.37 = 102.16 : x
  2. Step 2: Convert to fraction form
    167.67/231.37 = 102.16/x
  3. Step 3: Cross multiply
    167.67x = 231.37 × 102.16
  4. Step 4: Simplify right side
    167.67x = 23,636.76
  5. Step 5: Solve for x
    x = 23,636.76/167.67
  6. Step 6: Final answer
    x = 140.97

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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.