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Finding the Fourth Proportional to 167.82, 231.54 and 102.33

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Solution

The fourth proportional to 167.82, 231.54 and 102.33 is: 141.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.82 : 231.54 = 102.33 : x
  2. Step 2: Convert to fraction form
    167.82/231.54 = 102.33/x
  3. Step 3: Cross multiply
    167.82x = 231.54 × 102.33
  4. Step 4: Simplify right side
    167.82x = 23,693.49
  5. Step 5: Solve for x
    x = 23,693.49/167.82
  6. Step 6: Final answer
    x = 141.18

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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.