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Finding the Fourth Proportional to 17.09, 23.52 and 14.33

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Solution

The fourth proportional to 17.09, 23.52 and 14.33 is: 19.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.09 : 23.52 = 14.33 : x
  2. Step 2: Convert to fraction form
    17.09/23.52 = 14.33/x
  3. Step 3: Cross multiply
    17.09x = 23.52 × 14.33
  4. Step 4: Simplify right side
    17.09x = 337.04
  5. Step 5: Solve for x
    x = 337.04/17.09
  6. Step 6: Final answer
    x = 19.72

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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.