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Finding the Fourth Proportional to 33.43, 46.09 and 25.57

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Solution

The fourth proportional to 33.43, 46.09 and 25.57 is: 35.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.43 : 46.09 = 25.57 : x
  2. Step 2: Convert to fraction form
    33.43/46.09 = 25.57/x
  3. Step 3: Cross multiply
    33.43x = 46.09 × 25.57
  4. Step 4: Simplify right side
    33.43x = 1,178.16
  5. Step 5: Solve for x
    x = 1,178.16/33.43
  6. Step 6: Final answer
    x = 35.25

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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.