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Finding the Fourth Proportional to 27.23, 37.56 and 22.37

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Solution

The fourth proportional to 27.23, 37.56 and 22.37 is: 30.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.23 : 37.56 = 22.37 : x
  2. Step 2: Convert to fraction form
    27.23/37.56 = 22.37/x
  3. Step 3: Cross multiply
    27.23x = 37.56 × 22.37
  4. Step 4: Simplify right side
    27.23x = 840.22
  5. Step 5: Solve for x
    x = 840.22/27.23
  6. Step 6: Final answer
    x = 30.86

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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.