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Finding the Fourth Proportional to 27.10, 37.23 and 22.24

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Solution

The fourth proportional to 27.10, 37.23 and 22.24 is: 30.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.10 : 37.23 = 22.24 : x
  2. Step 2: Convert to fraction form
    27.10/37.23 = 22.24/x
  3. Step 3: Cross multiply
    27.10x = 37.23 × 22.24
  4. Step 4: Simplify right side
    27.10x = 827.90
  5. Step 5: Solve for x
    x = 827.90/27.10
  6. Step 6: Final answer
    x = 30.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.