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Finding the Fourth Proportional to 27.48, 37.90 and 22.02

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Solution

The fourth proportional to 27.48, 37.90 and 22.02 is: 30.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.48 : 37.90 = 22.02 : x
  2. Step 2: Convert to fraction form
    27.48/37.90 = 22.02/x
  3. Step 3: Cross multiply
    27.48x = 37.90 × 22.02
  4. Step 4: Simplify right side
    27.48x = 834.56
  5. Step 5: Solve for x
    x = 834.56/27.48
  6. Step 6: Final answer
    x = 30.37

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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.