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Finding the Fourth Proportional to 97.34, 134.33 and 60.49

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Solution

The fourth proportional to 97.34, 134.33 and 60.49 is: 83.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.34 : 134.33 = 60.49 : x
  2. Step 2: Convert to fraction form
    97.34/134.33 = 60.49/x
  3. Step 3: Cross multiply
    97.34x = 134.33 × 60.49
  4. Step 4: Simplify right side
    97.34x = 8,125.62
  5. Step 5: Solve for x
    x = 8,125.62/97.34
  6. Step 6: Final answer
    x = 83.48

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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.