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Finding the Fourth Proportional to 44.05, 66.11 and 22.42

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Solution

The fourth proportional to 44.05, 66.11 and 22.42 is: 33.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.05 : 66.11 = 22.42 : x
  2. Step 2: Convert to fraction form
    44.05/66.11 = 22.42/x
  3. Step 3: Cross multiply
    44.05x = 66.11 × 22.42
  4. Step 4: Simplify right side
    44.05x = 1,482.19
  5. Step 5: Solve for x
    x = 1,482.19/44.05
  6. Step 6: Final answer
    x = 33.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.