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Finding the Fourth Proportional to 81.99, 122.06 and 80.91

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Solution

The fourth proportional to 81.99, 122.06 and 80.91 is: 120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.99 : 122.06 = 80.91 : x
  2. Step 2: Convert to fraction form
    81.99/122.06 = 80.91/x
  3. Step 3: Cross multiply
    81.99x = 122.06 × 80.91
  4. Step 4: Simplify right side
    81.99x = 9,876.08
  5. Step 5: Solve for x
    x = 9,876.08/81.99
  6. Step 6: Final answer
    x = 120.45

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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.