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Finding the Fourth Proportional to 167.14, 230.70 and 97.23

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Solution

The fourth proportional to 167.14, 230.70 and 97.23 is: 134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.14 : 230.70 = 97.23 : x
  2. Step 2: Convert to fraction form
    167.14/230.70 = 97.23/x
  3. Step 3: Cross multiply
    167.14x = 230.70 × 97.23
  4. Step 4: Simplify right side
    167.14x = 22,429.70
  5. Step 5: Solve for x
    x = 22,429.70/167.14
  6. Step 6: Final answer
    x = 134.20

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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.