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Finding the Fourth Proportional to 22.42, 33.48 and 20.14

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Solution

The fourth proportional to 22.42, 33.48 and 20.14 is: 30.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.42 : 33.48 = 20.14 : x
  2. Step 2: Convert to fraction form
    22.42/33.48 = 20.14/x
  3. Step 3: Cross multiply
    22.42x = 33.48 × 20.14
  4. Step 4: Simplify right side
    22.42x = 674.29
  5. Step 5: Solve for x
    x = 674.29/22.42
  6. Step 6: Final answer
    x = 30.08

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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.