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Finding the Fourth Proportional to 76.82, 115.22 and 36.23

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Solution

The fourth proportional to 76.82, 115.22 and 36.23 is: 54.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.82 : 115.22 = 36.23 : x
  2. Step 2: Convert to fraction form
    76.82/115.22 = 36.23/x
  3. Step 3: Cross multiply
    76.82x = 115.22 × 36.23
  4. Step 4: Simplify right side
    76.82x = 4,173.94
  5. Step 5: Solve for x
    x = 4,173.94/76.82
  6. Step 6: Final answer
    x = 54.34

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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.