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Finding the Fourth Proportional to 17.82, 24.44 and 16.98

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Solution

The fourth proportional to 17.82, 24.44 and 16.98 is: 23.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.82 : 24.44 = 16.98 : x
  2. Step 2: Convert to fraction form
    17.82/24.44 = 16.98/x
  3. Step 3: Cross multiply
    17.82x = 24.44 × 16.98
  4. Step 4: Simplify right side
    17.82x = 414.91
  5. Step 5: Solve for x
    x = 414.91/17.82
  6. Step 6: Final answer
    x = 23.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.