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Finding the Fourth Proportional to 21.41, 32.06 and 16.30

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Solution

The fourth proportional to 21.41, 32.06 and 16.30 is: 24.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.41 : 32.06 = 16.30 : x
  2. Step 2: Convert to fraction form
    21.41/32.06 = 16.30/x
  3. Step 3: Cross multiply
    21.41x = 32.06 × 16.30
  4. Step 4: Simplify right side
    21.41x = 522.54
  5. Step 5: Solve for x
    x = 522.54/21.41
  6. Step 6: Final answer
    x = 24.40

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Why These Related Problems?

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