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Finding the Fourth Proportional to 20.84, 28.77 and 20.54

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Solution

The fourth proportional to 20.84, 28.77 and 20.54 is: 28.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.84 : 28.77 = 20.54 : x
  2. Step 2: Convert to fraction form
    20.84/28.77 = 20.54/x
  3. Step 3: Cross multiply
    20.84x = 28.77 × 20.54
  4. Step 4: Simplify right side
    20.84x = 590.94
  5. Step 5: Solve for x
    x = 590.94/20.84
  6. Step 6: Final answer
    x = 28.36

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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.