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Finding the Fourth Proportional to 16.80, 25.36 and 16.71

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Solution

The fourth proportional to 16.80, 25.36 and 16.71 is: 25.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.80 : 25.36 = 16.71 : x
  2. Step 2: Convert to fraction form
    16.80/25.36 = 16.71/x
  3. Step 3: Cross multiply
    16.80x = 25.36 × 16.71
  4. Step 4: Simplify right side
    16.80x = 423.56
  5. Step 5: Solve for x
    x = 423.56/16.80
  6. Step 6: Final answer
    x = 25.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.