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Finding the Fourth Proportional to 27.31, 37.66 and 20.05

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Solution

The fourth proportional to 27.31, 37.66 and 20.05 is: 27.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.31 : 37.66 = 20.05 : x
  2. Step 2: Convert to fraction form
    27.31/37.66 = 20.05/x
  3. Step 3: Cross multiply
    27.31x = 37.66 × 20.05
  4. Step 4: Simplify right side
    27.31x = 755.08
  5. Step 5: Solve for x
    x = 755.08/27.31
  6. Step 6: Final answer
    x = 27.65

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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.