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Finding the Fourth Proportional to 167.42, 231.01 and 97.47

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Solution

The fourth proportional to 167.42, 231.01 and 97.47 is: 134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.42 : 231.01 = 97.47 : x
  2. Step 2: Convert to fraction form
    167.42/231.01 = 97.47/x
  3. Step 3: Cross multiply
    167.42x = 231.01 × 97.47
  4. Step 4: Simplify right side
    167.42x = 22,516.54
  5. Step 5: Solve for x
    x = 22,516.54/167.42
  6. Step 6: Final answer
    x = 134.49

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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.