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Finding the Fourth Proportional to 116.28, 160.80 and 97.92

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Solution

The fourth proportional to 116.28, 160.80 and 97.92 is: 135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.28 : 160.80 = 97.92 : x
  2. Step 2: Convert to fraction form
    116.28/160.80 = 97.92/x
  3. Step 3: Cross multiply
    116.28x = 160.80 × 97.92
  4. Step 4: Simplify right side
    116.28x = 15,745.54
  5. Step 5: Solve for x
    x = 15,745.54/116.28
  6. Step 6: Final answer
    x = 135.41

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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.