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Finding the Fourth Proportional to 167.21, 230.74 and 97.28

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Solution

The fourth proportional to 167.21, 230.74 and 97.28 is: 134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.21 : 230.74 = 97.28 : x
  2. Step 2: Convert to fraction form
    167.21/230.74 = 97.28/x
  3. Step 3: Cross multiply
    167.21x = 230.74 × 97.28
  4. Step 4: Simplify right side
    167.21x = 22,446.39
  5. Step 5: Solve for x
    x = 22,446.39/167.21
  6. Step 6: Final answer
    x = 134.24

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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.