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Finding the Fourth Proportional to 116.92, 161.16 and 113.48

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Solution

The fourth proportional to 116.92, 161.16 and 113.48 is: 156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.92 : 161.16 = 113.48 : x
  2. Step 2: Convert to fraction form
    116.92/161.16 = 113.48/x
  3. Step 3: Cross multiply
    116.92x = 161.16 × 113.48
  4. Step 4: Simplify right side
    116.92x = 18,288.44
  5. Step 5: Solve for x
    x = 18,288.44/116.92
  6. Step 6: Final answer
    x = 156.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.