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Finding the Fourth Proportional to 27.20, 37.46 and 19.42

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Solution

The fourth proportional to 27.20, 37.46 and 19.42 is: 26.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.20 : 37.46 = 19.42 : x
  2. Step 2: Convert to fraction form
    27.20/37.46 = 19.42/x
  3. Step 3: Cross multiply
    27.20x = 37.46 × 19.42
  4. Step 4: Simplify right side
    27.20x = 727.47
  5. Step 5: Solve for x
    x = 727.47/27.20
  6. Step 6: Final answer
    x = 26.75

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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.