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Finding the Fourth Proportional to 21.41, 32.17 and 21.23

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Solution

The fourth proportional to 21.41, 32.17 and 21.23 is: 31.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.41 : 32.17 = 21.23 : x
  2. Step 2: Convert to fraction form
    21.41/32.17 = 21.23/x
  3. Step 3: Cross multiply
    21.41x = 32.17 × 21.23
  4. Step 4: Simplify right side
    21.41x = 682.97
  5. Step 5: Solve for x
    x = 682.97/21.41
  6. Step 6: Final answer
    x = 31.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.