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Finding the Fourth Proportional to 167.57, 231.23 and 102.08

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Solution

The fourth proportional to 167.57, 231.23 and 102.08 is: 140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.57 : 231.23 = 102.08 : x
  2. Step 2: Convert to fraction form
    167.57/231.23 = 102.08/x
  3. Step 3: Cross multiply
    167.57x = 231.23 × 102.08
  4. Step 4: Simplify right side
    167.57x = 23,602.29
  5. Step 5: Solve for x
    x = 23,602.29/167.57
  6. Step 6: Final answer
    x = 140.85

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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.