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Finding the Fourth Proportional to 20.53, 30.79 and 6.82

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Solution

The fourth proportional to 20.53, 30.79 and 6.82 is: 10.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.53 : 30.79 = 6.82 : x
  2. Step 2: Convert to fraction form
    20.53/30.79 = 6.82/x
  3. Step 3: Cross multiply
    20.53x = 30.79 × 6.82
  4. Step 4: Simplify right side
    20.53x = 209.89
  5. Step 5: Solve for x
    x = 209.89/20.53
  6. Step 6: Final answer
    x = 10.23

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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.