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Finding the Fourth Proportional to 21.41, 32.00 and 20.87

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Solution

The fourth proportional to 21.41, 32.00 and 20.87 is: 31.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.41 : 32.00 = 20.87 : x
  2. Step 2: Convert to fraction form
    21.41/32.00 = 20.87/x
  3. Step 3: Cross multiply
    21.41x = 32.00 × 20.87
  4. Step 4: Simplify right side
    21.41x = 667.85
  5. Step 5: Solve for x
    x = 667.85/21.41
  6. Step 6: Final answer
    x = 31.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.