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Finding the Fourth Proportional to 116.98, 160.75 and 97.54

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Solution

The fourth proportional to 116.98, 160.75 and 97.54 is: 134.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.98 : 160.75 = 97.54 : x
  2. Step 2: Convert to fraction form
    116.98/160.75 = 97.54/x
  3. Step 3: Cross multiply
    116.98x = 160.75 × 97.54
  4. Step 4: Simplify right side
    116.98x = 15,679.56
  5. Step 5: Solve for x
    x = 15,679.56/116.98
  6. Step 6: Final answer
    x = 134.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.