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Finding the Fourth Proportional to 21.93, 33.09 and 21.93

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Solution

The fourth proportional to 21.93, 33.09 and 21.93 is: 33.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.93 : 33.09 = 21.93 : x
  2. Step 2: Convert to fraction form
    21.93/33.09 = 21.93/x
  3. Step 3: Cross multiply
    21.93x = 33.09 × 21.93
  4. Step 4: Simplify right side
    21.93x = 725.66
  5. Step 5: Solve for x
    x = 725.66/21.93
  6. Step 6: Final answer
    x = 33.09

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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.