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Finding the Fourth Proportional to 21.34, 29.62 and 20.38

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Solution

The fourth proportional to 21.34, 29.62 and 20.38 is: 28.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.34 : 29.62 = 20.38 : x
  2. Step 2: Convert to fraction form
    21.34/29.62 = 20.38/x
  3. Step 3: Cross multiply
    21.34x = 29.62 × 20.38
  4. Step 4: Simplify right side
    21.34x = 603.66
  5. Step 5: Solve for x
    x = 603.66/21.34
  6. Step 6: Final answer
    x = 28.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.