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Finding the Fourth Proportional to 167.49, 231.12 and 102.06

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Solution

The fourth proportional to 167.49, 231.12 and 102.06 is: 140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.49 : 231.12 = 102.06 : x
  2. Step 2: Convert to fraction form
    167.49/231.12 = 102.06/x
  3. Step 3: Cross multiply
    167.49x = 231.12 × 102.06
  4. Step 4: Simplify right side
    167.49x = 23,588.11
  5. Step 5: Solve for x
    x = 23,588.11/167.49
  6. Step 6: Final answer
    x = 140.83

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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.