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Finding the Fourth Proportional to 23.97, 33.08 and 14.14

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Solution

The fourth proportional to 23.97, 33.08 and 14.14 is: 19.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.97 : 33.08 = 14.14 : x
  2. Step 2: Convert to fraction form
    23.97/33.08 = 14.14/x
  3. Step 3: Cross multiply
    23.97x = 33.08 × 14.14
  4. Step 4: Simplify right side
    23.97x = 467.52
  5. Step 5: Solve for x
    x = 467.52/23.97
  6. Step 6: Final answer
    x = 19.50

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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.