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Finding the Fourth Proportional to 36.65, 54.92 and 27.64

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Solution

The fourth proportional to 36.65, 54.92 and 27.64 is: 41.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.65 : 54.92 = 27.64 : x
  2. Step 2: Convert to fraction form
    36.65/54.92 = 27.64/x
  3. Step 3: Cross multiply
    36.65x = 54.92 × 27.64
  4. Step 4: Simplify right side
    36.65x = 1,517.82
  5. Step 5: Solve for x
    x = 1,517.82/36.65
  6. Step 6: Final answer
    x = 41.42

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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.