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Finding the Fourth Proportional to 97.24, 134.14 and 58.42

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Solution

The fourth proportional to 97.24, 134.14 and 58.42 is: 80.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.24 : 134.14 = 58.42 : x
  2. Step 2: Convert to fraction form
    97.24/134.14 = 58.42/x
  3. Step 3: Cross multiply
    97.24x = 134.14 × 58.42
  4. Step 4: Simplify right side
    97.24x = 7,836.46
  5. Step 5: Solve for x
    x = 7,836.46/97.24
  6. Step 6: Final answer
    x = 80.59

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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.