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Finding the Fourth Proportional to 21.92, 30.24 and 16.40

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Solution

The fourth proportional to 21.92, 30.24 and 16.40 is: 22.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.92 : 30.24 = 16.40 : x
  2. Step 2: Convert to fraction form
    21.92/30.24 = 16.40/x
  3. Step 3: Cross multiply
    21.92x = 30.24 × 16.40
  4. Step 4: Simplify right side
    21.92x = 495.94
  5. Step 5: Solve for x
    x = 495.94/21.92
  6. Step 6: Final answer
    x = 22.62

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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.