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Finding the Fourth Proportional to 33.63, 46.40 and 22.74

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Solution

The fourth proportional to 33.63, 46.40 and 22.74 is: 31.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.63 : 46.40 = 22.74 : x
  2. Step 2: Convert to fraction form
    33.63/46.40 = 22.74/x
  3. Step 3: Cross multiply
    33.63x = 46.40 × 22.74
  4. Step 4: Simplify right side
    33.63x = 1,055.14
  5. Step 5: Solve for x
    x = 1,055.14/33.63
  6. Step 6: Final answer
    x = 31.37

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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.