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Finding the Fourth Proportional to 20.54, 30.78 and 10.91

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Solution

The fourth proportional to 20.54, 30.78 and 10.91 is: 16.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.54 : 30.78 = 10.91 : x
  2. Step 2: Convert to fraction form
    20.54/30.78 = 10.91/x
  3. Step 3: Cross multiply
    20.54x = 30.78 × 10.91
  4. Step 4: Simplify right side
    20.54x = 335.66
  5. Step 5: Solve for x
    x = 335.66/20.54
  6. Step 6: Final answer
    x = 16.35

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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.