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Finding the Fourth Proportional to 81.66, 121.82 and 79.80

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Solution

The fourth proportional to 81.66, 121.82 and 79.80 is: 119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.66 : 121.82 = 79.80 : x
  2. Step 2: Convert to fraction form
    81.66/121.82 = 79.80/x
  3. Step 3: Cross multiply
    81.66x = 121.82 × 79.80
  4. Step 4: Simplify right side
    81.66x = 9,721.24
  5. Step 5: Solve for x
    x = 9,721.24/81.66
  6. Step 6: Final answer
    x = 119.05

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Why These Related Problems?

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