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Finding the Fourth Proportional to 21.94, 33.12 and 21.94

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Solution

The fourth proportional to 21.94, 33.12 and 21.94 is: 33.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.94 : 33.12 = 21.94 : x
  2. Step 2: Convert to fraction form
    21.94/33.12 = 21.94/x
  3. Step 3: Cross multiply
    21.94x = 33.12 × 21.94
  4. Step 4: Simplify right side
    21.94x = 726.54
  5. Step 5: Solve for x
    x = 726.54/21.94
  6. Step 6: Final answer
    x = 33.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.