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Finding the Fourth Proportional to 22.54, 33.50 and 22.06

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Solution

The fourth proportional to 22.54, 33.50 and 22.06 is: 32.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.54 : 33.50 = 22.06 : x
  2. Step 2: Convert to fraction form
    22.54/33.50 = 22.06/x
  3. Step 3: Cross multiply
    22.54x = 33.50 × 22.06
  4. Step 4: Simplify right side
    22.54x = 739.01
  5. Step 5: Solve for x
    x = 739.01/22.54
  6. Step 6: Final answer
    x = 32.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.