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Finding the Fourth Proportional to 20.34, 30.68 and 19.62

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Solution

The fourth proportional to 20.34, 30.68 and 19.62 is: 29.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.34 : 30.68 = 19.62 : x
  2. Step 2: Convert to fraction form
    20.34/30.68 = 19.62/x
  3. Step 3: Cross multiply
    20.34x = 30.68 × 19.62
  4. Step 4: Simplify right side
    20.34x = 601.94
  5. Step 5: Solve for x
    x = 601.94/20.34
  6. Step 6: Final answer
    x = 29.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.