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Finding the Fourth Proportional to 22, 33.17 and 21.04

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Solution

The fourth proportional to 22, 33.17 and 21.04 is: 31.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22 : 33.17 = 21.04 : x
  2. Step 2: Convert to fraction form
    22/33.17 = 21.04/x
  3. Step 3: Cross multiply
    22x = 33.17 × 21.04
  4. Step 4: Simplify right side
    22x = 697.90
  5. Step 5: Solve for x
    x = 697.90/22
  6. Step 6: Final answer
    x = 31.72

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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.