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Finding the Fourth Proportional to 97.62, 134.68 and 58.28

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Solution

The fourth proportional to 97.62, 134.68 and 58.28 is: 80.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.62 : 134.68 = 58.28 : x
  2. Step 2: Convert to fraction form
    97.62/134.68 = 58.28/x
  3. Step 3: Cross multiply
    97.62x = 134.68 × 58.28
  4. Step 4: Simplify right side
    97.62x = 7,849.38
  5. Step 5: Solve for x
    x = 7,849.38/97.62
  6. Step 6: Final answer
    x = 80.41

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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.