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Finding the Fourth Proportional to 16.75, 25.01 and 13.70

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Solution

The fourth proportional to 16.75, 25.01 and 13.70 is: 20.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.75 : 25.01 = 13.70 : x
  2. Step 2: Convert to fraction form
    16.75/25.01 = 13.70/x
  3. Step 3: Cross multiply
    16.75x = 25.01 × 13.70
  4. Step 4: Simplify right side
    16.75x = 342.68
  5. Step 5: Solve for x
    x = 342.68/16.75
  6. Step 6: Final answer
    x = 20.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.