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Finding the Fourth Proportional to 167.97, 231.76 and 94.27

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Solution

The fourth proportional to 167.97, 231.76 and 94.27 is: 130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.97 : 231.76 = 94.27 : x
  2. Step 2: Convert to fraction form
    167.97/231.76 = 94.27/x
  3. Step 3: Cross multiply
    167.97x = 231.76 × 94.27
  4. Step 4: Simplify right side
    167.97x = 21,848.02
  5. Step 5: Solve for x
    x = 21,848.02/167.97
  6. Step 6: Final answer
    x = 130.07

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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.