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Finding the Fourth Proportional to 20.46, 30.54 and 19.82

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Solution

The fourth proportional to 20.46, 30.54 and 19.82 is: 29.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.46 : 30.54 = 19.82 : x
  2. Step 2: Convert to fraction form
    20.46/30.54 = 19.82/x
  3. Step 3: Cross multiply
    20.46x = 30.54 × 19.82
  4. Step 4: Simplify right side
    20.46x = 605.20
  5. Step 5: Solve for x
    x = 605.20/20.46
  6. Step 6: Final answer
    x = 29.58

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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.