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Finding the Fourth Proportional to 33.14, 45.73 and 22.78

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Solution

The fourth proportional to 33.14, 45.73 and 22.78 is: 31.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.14 : 45.73 = 22.78 : x
  2. Step 2: Convert to fraction form
    33.14/45.73 = 22.78/x
  3. Step 3: Cross multiply
    33.14x = 45.73 × 22.78
  4. Step 4: Simplify right side
    33.14x = 1,041.43
  5. Step 5: Solve for x
    x = 1,041.43/33.14
  6. Step 6: Final answer
    x = 31.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.