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Finding the Fourth Proportional to 17.74, 24.41 and 16.45

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Solution

The fourth proportional to 17.74, 24.41 and 16.45 is: 22.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.74 : 24.41 = 16.45 : x
  2. Step 2: Convert to fraction form
    17.74/24.41 = 16.45/x
  3. Step 3: Cross multiply
    17.74x = 24.41 × 16.45
  4. Step 4: Simplify right side
    17.74x = 401.58
  5. Step 5: Solve for x
    x = 401.58/17.74
  6. Step 6: Final answer
    x = 22.64

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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.