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Finding the Fourth Proportional to 27.69, 38.16 and 27.09

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Solution

The fourth proportional to 27.69, 38.16 and 27.09 is: 37.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.69 : 38.16 = 27.09 : x
  2. Step 2: Convert to fraction form
    27.69/38.16 = 27.09/x
  3. Step 3: Cross multiply
    27.69x = 38.16 × 27.09
  4. Step 4: Simplify right side
    27.69x = 1,033.75
  5. Step 5: Solve for x
    x = 1,033.75/27.69
  6. Step 6: Final answer
    x = 37.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.