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Finding the Fourth Proportional to 17.66, 24.19 and 17.44

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Solution

The fourth proportional to 17.66, 24.19 and 17.44 is: 23.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.66 : 24.19 = 17.44 : x
  2. Step 2: Convert to fraction form
    17.66/24.19 = 17.44/x
  3. Step 3: Cross multiply
    17.66x = 24.19 × 17.44
  4. Step 4: Simplify right side
    17.66x = 421.87
  5. Step 5: Solve for x
    x = 421.87/17.66
  6. Step 6: Final answer
    x = 23.89

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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.