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Finding the Fourth Proportional to 21.92, 30.22 and 17.82

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Solution

The fourth proportional to 21.92, 30.22 and 17.82 is: 24.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.92 : 30.22 = 17.82 : x
  2. Step 2: Convert to fraction form
    21.92/30.22 = 17.82/x
  3. Step 3: Cross multiply
    21.92x = 30.22 × 17.82
  4. Step 4: Simplify right side
    21.92x = 538.58
  5. Step 5: Solve for x
    x = 538.58/21.92
  6. Step 6: Final answer
    x = 24.57

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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.