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Finding the Fourth Proportional to 21.57, 32.34 and 21.09

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Solution

The fourth proportional to 21.57, 32.34 and 21.09 is: 31.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.57 : 32.34 = 21.09 : x
  2. Step 2: Convert to fraction form
    21.57/32.34 = 21.09/x
  3. Step 3: Cross multiply
    21.57x = 32.34 × 21.09
  4. Step 4: Simplify right side
    21.57x = 682.05
  5. Step 5: Solve for x
    x = 682.05/21.57
  6. Step 6: Final answer
    x = 31.62

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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.