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Finding the Fourth Proportional to 27.36, 37.74 and 20.10

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Solution

The fourth proportional to 27.36, 37.74 and 20.10 is: 27.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.36 : 37.74 = 20.10 : x
  2. Step 2: Convert to fraction form
    27.36/37.74 = 20.10/x
  3. Step 3: Cross multiply
    27.36x = 37.74 × 20.10
  4. Step 4: Simplify right side
    27.36x = 758.57
  5. Step 5: Solve for x
    x = 758.57/27.36
  6. Step 6: Final answer
    x = 27.73

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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.