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Finding the Fourth Proportional to 21.50, 29.74 and 20.54

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Solution

The fourth proportional to 21.50, 29.74 and 20.54 is: 28.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.50 : 29.74 = 20.54 : x
  2. Step 2: Convert to fraction form
    21.50/29.74 = 20.54/x
  3. Step 3: Cross multiply
    21.50x = 29.74 × 20.54
  4. Step 4: Simplify right side
    21.50x = 610.86
  5. Step 5: Solve for x
    x = 610.86/21.50
  6. Step 6: Final answer
    x = 28.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.