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Finding the Fourth Proportional to 167.72, 231.43 and 97.78

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Solution

The fourth proportional to 167.72, 231.43 and 97.78 is: 134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.72 : 231.43 = 97.78 : x
  2. Step 2: Convert to fraction form
    167.72/231.43 = 97.78/x
  3. Step 3: Cross multiply
    167.72x = 231.43 × 97.78
  4. Step 4: Simplify right side
    167.72x = 22,629.95
  5. Step 5: Solve for x
    x = 22,629.95/167.72
  6. Step 6: Final answer
    x = 134.93

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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.