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Finding the Fourth Proportional to 115.92, 160.14 and 97.56

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Solution

The fourth proportional to 115.92, 160.14 and 97.56 is: 134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.92 : 160.14 = 97.56 : x
  2. Step 2: Convert to fraction form
    115.92/160.14 = 97.56/x
  3. Step 3: Cross multiply
    115.92x = 160.14 × 97.56
  4. Step 4: Simplify right side
    115.92x = 15,623.26
  5. Step 5: Solve for x
    x = 15,623.26/115.92
  6. Step 6: Final answer
    x = 134.78

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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.