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Finding the Fourth Proportional to 33.49, 46.13 and 33.02

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Solution

The fourth proportional to 33.49, 46.13 and 33.02 is: 45.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.49 : 46.13 = 33.02 : x
  2. Step 2: Convert to fraction form
    33.49/46.13 = 33.02/x
  3. Step 3: Cross multiply
    33.49x = 46.13 × 33.02
  4. Step 4: Simplify right side
    33.49x = 1,523.21
  5. Step 5: Solve for x
    x = 1,523.21/33.49
  6. Step 6: Final answer
    x = 45.48

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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.