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Finding the Fourth Proportional to 81.91, 122.28 and 77.05

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Solution

The fourth proportional to 81.91, 122.28 and 77.05 is: 115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.91 : 122.28 = 77.05 : x
  2. Step 2: Convert to fraction form
    81.91/122.28 = 77.05/x
  3. Step 3: Cross multiply
    81.91x = 122.28 × 77.05
  4. Step 4: Simplify right side
    81.91x = 9,421.06
  5. Step 5: Solve for x
    x = 9,421.06/81.91
  6. Step 6: Final answer
    x = 115.02

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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.