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Finding the Fourth Proportional to 27.47, 37.83 and 22.31

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Solution

The fourth proportional to 27.47, 37.83 and 22.31 is: 30.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.47 : 37.83 = 22.31 : x
  2. Step 2: Convert to fraction form
    27.47/37.83 = 22.31/x
  3. Step 3: Cross multiply
    27.47x = 37.83 × 22.31
  4. Step 4: Simplify right side
    27.47x = 843.80
  5. Step 5: Solve for x
    x = 843.80/27.47
  6. Step 6: Final answer
    x = 30.72

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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.