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Finding the Fourth Proportional to 17.82, 26.61 and 16.80

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Solution

The fourth proportional to 17.82, 26.61 and 16.80 is: 25.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.82 : 26.61 = 16.80 : x
  2. Step 2: Convert to fraction form
    17.82/26.61 = 16.80/x
  3. Step 3: Cross multiply
    17.82x = 26.61 × 16.80
  4. Step 4: Simplify right side
    17.82x = 447.05
  5. Step 5: Solve for x
    x = 447.05/17.82
  6. Step 6: Final answer
    x = 25.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.