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Finding the Fourth Proportional to 81.82, 121.96 and 79.20

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Solution

The fourth proportional to 81.82, 121.96 and 79.20 is: 118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.82 : 121.96 = 79.20 : x
  2. Step 2: Convert to fraction form
    81.82/121.96 = 79.20/x
  3. Step 3: Cross multiply
    81.82x = 121.96 × 79.20
  4. Step 4: Simplify right side
    81.82x = 9,659.23
  5. Step 5: Solve for x
    x = 9,659.23/81.82
  6. Step 6: Final answer
    x = 118.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.