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Finding the Fourth Proportional to 81.64, 122.23 and 77.37

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Solution

The fourth proportional to 81.64, 122.23 and 77.37 is: 115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.64 : 122.23 = 77.37 : x
  2. Step 2: Convert to fraction form
    81.64/122.23 = 77.37/x
  3. Step 3: Cross multiply
    81.64x = 122.23 × 77.37
  4. Step 4: Simplify right side
    81.64x = 9,456.94
  5. Step 5: Solve for x
    x = 9,456.94/81.64
  6. Step 6: Final answer
    x = 115.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.