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Finding the Fourth Proportional to 27.39, 37.80 and 16.47

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Solution

The fourth proportional to 27.39, 37.80 and 16.47 is: 22.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.39 : 37.80 = 16.47 : x
  2. Step 2: Convert to fraction form
    27.39/37.80 = 16.47/x
  3. Step 3: Cross multiply
    27.39x = 37.80 × 16.47
  4. Step 4: Simplify right side
    27.39x = 622.57
  5. Step 5: Solve for x
    x = 622.57/27.39
  6. Step 6: Final answer
    x = 22.73

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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.