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Finding the Fourth Proportional to 16.75, 23.09 and 13.48

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Solution

The fourth proportional to 16.75, 23.09 and 13.48 is: 18.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.75 : 23.09 = 13.48 : x
  2. Step 2: Convert to fraction form
    16.75/23.09 = 13.48/x
  3. Step 3: Cross multiply
    16.75x = 23.09 × 13.48
  4. Step 4: Simplify right side
    16.75x = 311.18
  5. Step 5: Solve for x
    x = 311.18/16.75
  6. Step 6: Final answer
    x = 18.58

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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.