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Finding the Fourth Proportional to 21.96, 30.38 and 16.56

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Solution

The fourth proportional to 21.96, 30.38 and 16.56 is: 22.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.96 : 30.38 = 16.56 : x
  2. Step 2: Convert to fraction form
    21.96/30.38 = 16.56/x
  3. Step 3: Cross multiply
    21.96x = 30.38 × 16.56
  4. Step 4: Simplify right side
    21.96x = 503.01
  5. Step 5: Solve for x
    x = 503.01/21.96
  6. Step 6: Final answer
    x = 22.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.