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Finding the Fourth Proportional to 27.54, 37.97 and 22.07

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Solution

The fourth proportional to 27.54, 37.97 and 22.07 is: 30.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.54 : 37.97 = 22.07 : x
  2. Step 2: Convert to fraction form
    27.54/37.97 = 22.07/x
  3. Step 3: Cross multiply
    27.54x = 37.97 × 22.07
  4. Step 4: Simplify right side
    27.54x = 838.07
  5. Step 5: Solve for x
    x = 838.07/27.54
  6. Step 6: Final answer
    x = 30.43

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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.