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Finding the Fourth Proportional to 167.26, 230.81 and 97.32

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Solution

The fourth proportional to 167.26, 230.81 and 97.32 is: 134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.26 : 230.81 = 97.32 : x
  2. Step 2: Convert to fraction form
    167.26/230.81 = 97.32/x
  3. Step 3: Cross multiply
    167.26x = 230.81 × 97.32
  4. Step 4: Simplify right side
    167.26x = 22,461.81
  5. Step 5: Solve for x
    x = 22,461.81/167.26
  6. Step 6: Final answer
    x = 134.29

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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.