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Finding the Fourth Proportional to 21.96, 32.90 and 16.54

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Solution

The fourth proportional to 21.96, 32.90 and 16.54 is: 24.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.96 : 32.90 = 16.54 : x
  2. Step 2: Convert to fraction form
    21.96/32.90 = 16.54/x
  3. Step 3: Cross multiply
    21.96x = 32.90 × 16.54
  4. Step 4: Simplify right side
    21.96x = 544.17
  5. Step 5: Solve for x
    x = 544.17/21.96
  6. Step 6: Final answer
    x = 24.78

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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.