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Finding the Fourth Proportional to 27.81, 38.09 and 27.09

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Solution

The fourth proportional to 27.81, 38.09 and 27.09 is: 37.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.81 : 38.09 = 27.09 : x
  2. Step 2: Convert to fraction form
    27.81/38.09 = 27.09/x
  3. Step 3: Cross multiply
    27.81x = 38.09 × 27.09
  4. Step 4: Simplify right side
    27.81x = 1,031.93
  5. Step 5: Solve for x
    x = 1,031.93/27.81
  6. Step 6: Final answer
    x = 37.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.