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Finding the Fourth Proportional to 22.42, 33.55 and 20.49

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Solution

The fourth proportional to 22.42, 33.55 and 20.49 is: 30.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.42 : 33.55 = 20.49 : x
  2. Step 2: Convert to fraction form
    22.42/33.55 = 20.49/x
  3. Step 3: Cross multiply
    22.42x = 33.55 × 20.49
  4. Step 4: Simplify right side
    22.42x = 687.51
  5. Step 5: Solve for x
    x = 687.51/22.42
  6. Step 6: Final answer
    x = 30.67

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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.