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Finding the Fourth Proportional to 16.75, 25.14 and 11.70

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Solution

The fourth proportional to 16.75, 25.14 and 11.70 is: 17.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.75 : 25.14 = 11.70 : x
  2. Step 2: Convert to fraction form
    16.75/25.14 = 11.70/x
  3. Step 3: Cross multiply
    16.75x = 25.14 × 11.70
  4. Step 4: Simplify right side
    16.75x = 294.14
  5. Step 5: Solve for x
    x = 294.14/16.75
  6. Step 6: Final answer
    x = 17.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.