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Finding the Fourth Proportional to 27.72, 38.25 and 16.22

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Solution

The fourth proportional to 27.72, 38.25 and 16.22 is: 22.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.72 : 38.25 = 16.22 : x
  2. Step 2: Convert to fraction form
    27.72/38.25 = 16.22/x
  3. Step 3: Cross multiply
    27.72x = 38.25 × 16.22
  4. Step 4: Simplify right side
    27.72x = 620.42
  5. Step 5: Solve for x
    x = 620.42/27.72
  6. Step 6: Final answer
    x = 22.38

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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.