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Finding the Fourth Proportional to 27.66, 38.24 and 21.86

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Solution

The fourth proportional to 27.66, 38.24 and 21.86 is: 30.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.66 : 38.24 = 21.86 : x
  2. Step 2: Convert to fraction form
    27.66/38.24 = 21.86/x
  3. Step 3: Cross multiply
    27.66x = 38.24 × 21.86
  4. Step 4: Simplify right side
    27.66x = 835.93
  5. Step 5: Solve for x
    x = 835.93/27.66
  6. Step 6: Final answer
    x = 30.22

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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.