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Finding the Fourth Proportional to 20.82, 31.08 and 16.80

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Solution

The fourth proportional to 20.82, 31.08 and 16.80 is: 25.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.82 : 31.08 = 16.80 : x
  2. Step 2: Convert to fraction form
    20.82/31.08 = 16.80/x
  3. Step 3: Cross multiply
    20.82x = 31.08 × 16.80
  4. Step 4: Simplify right side
    20.82x = 522.14
  5. Step 5: Solve for x
    x = 522.14/20.82
  6. Step 6: Final answer
    x = 25.08

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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.