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Finding the Fourth Proportional to 17.57, 24.14 and 14.33

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Solution

The fourth proportional to 17.57, 24.14 and 14.33 is: 19.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.57 : 24.14 = 14.33 : x
  2. Step 2: Convert to fraction form
    17.57/24.14 = 14.33/x
  3. Step 3: Cross multiply
    17.57x = 24.14 × 14.33
  4. Step 4: Simplify right side
    17.57x = 345.73
  5. Step 5: Solve for x
    x = 345.73/17.57
  6. Step 6: Final answer
    x = 19.68

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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.