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Finding the Fourth Proportional to 116.18, 160.31 and 69.54

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Solution

The fourth proportional to 116.18, 160.31 and 69.54 is: 95.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.18 : 160.31 = 69.54 : x
  2. Step 2: Convert to fraction form
    116.18/160.31 = 69.54/x
  3. Step 3: Cross multiply
    116.18x = 160.31 × 69.54
  4. Step 4: Simplify right side
    116.18x = 11,147.61
  5. Step 5: Solve for x
    x = 11,147.61/116.18
  6. Step 6: Final answer
    x = 95.96

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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.