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Finding the Fourth Proportional to 116.79, 161.24 and 81.88

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Solution

The fourth proportional to 116.79, 161.24 and 81.88 is: 113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.79 : 161.24 = 81.88 : x
  2. Step 2: Convert to fraction form
    116.79/161.24 = 81.88/x
  3. Step 3: Cross multiply
    116.79x = 161.24 × 81.88
  4. Step 4: Simplify right side
    116.79x = 13,202.33
  5. Step 5: Solve for x
    x = 13,202.33/116.79
  6. Step 6: Final answer
    x = 113.04

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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.