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Finding the Fourth Proportional to 22.32, 33.09 and 22.06

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Solution

The fourth proportional to 22.32, 33.09 and 22.06 is: 32.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.32 : 33.09 = 22.06 : x
  2. Step 2: Convert to fraction form
    22.32/33.09 = 22.06/x
  3. Step 3: Cross multiply
    22.32x = 33.09 × 22.06
  4. Step 4: Simplify right side
    22.32x = 729.97
  5. Step 5: Solve for x
    x = 729.97/22.32
  6. Step 6: Final answer
    x = 32.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.