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Finding the Fourth Proportional to 167.31, 230.93 and 97.41

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Solution

The fourth proportional to 167.31, 230.93 and 97.41 is: 134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.31 : 230.93 = 97.41 : x
  2. Step 2: Convert to fraction form
    167.31/230.93 = 97.41/x
  3. Step 3: Cross multiply
    167.31x = 230.93 × 97.41
  4. Step 4: Simplify right side
    167.31x = 22,494.89
  5. Step 5: Solve for x
    x = 22,494.89/167.31
  6. Step 6: Final answer
    x = 134.45

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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.