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Finding the Fourth Proportional to 167.51, 231.21 and 97.61

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Solution

The fourth proportional to 167.51, 231.21 and 97.61 is: 134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.51 : 231.21 = 97.61 : x
  2. Step 2: Convert to fraction form
    167.51/231.21 = 97.61/x
  3. Step 3: Cross multiply
    167.51x = 231.21 × 97.61
  4. Step 4: Simplify right side
    167.51x = 22,567.25
  5. Step 5: Solve for x
    x = 22,567.25/167.51
  6. Step 6: Final answer
    x = 134.73

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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.