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Finding the Fourth Proportional to 27.56, 37.99 and 20.66

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Solution

The fourth proportional to 27.56, 37.99 and 20.66 is: 28.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.56 : 37.99 = 20.66 : x
  2. Step 2: Convert to fraction form
    27.56/37.99 = 20.66/x
  3. Step 3: Cross multiply
    27.56x = 37.99 × 20.66
  4. Step 4: Simplify right side
    27.56x = 784.87
  5. Step 5: Solve for x
    x = 784.87/27.56
  6. Step 6: Final answer
    x = 28.48

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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.