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Finding the Fourth Proportional to 17.07, 23.59 and 16.44

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Solution

The fourth proportional to 17.07, 23.59 and 16.44 is: 22.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.07 : 23.59 = 16.44 : x
  2. Step 2: Convert to fraction form
    17.07/23.59 = 16.44/x
  3. Step 3: Cross multiply
    17.07x = 23.59 × 16.44
  4. Step 4: Simplify right side
    17.07x = 387.74
  5. Step 5: Solve for x
    x = 387.74/17.07
  6. Step 6: Final answer
    x = 22.71

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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.