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Finding the Fourth Proportional to 167.88, 231.60 and 102.38

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Solution

The fourth proportional to 167.88, 231.60 and 102.38 is: 141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.88 : 231.60 = 102.38 : x
  2. Step 2: Convert to fraction form
    167.88/231.60 = 102.38/x
  3. Step 3: Cross multiply
    167.88x = 231.60 × 102.38
  4. Step 4: Simplify right side
    167.88x = 23,711.21
  5. Step 5: Solve for x
    x = 23,711.21/167.88
  6. Step 6: Final answer
    x = 141.24

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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.