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Finding the Fourth Proportional to 33.45, 46.42 and 32.13

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Solution

The fourth proportional to 33.45, 46.42 and 32.13 is: 44.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.45 : 46.42 = 32.13 : x
  2. Step 2: Convert to fraction form
    33.45/46.42 = 32.13/x
  3. Step 3: Cross multiply
    33.45x = 46.42 × 32.13
  4. Step 4: Simplify right side
    33.45x = 1,491.39
  5. Step 5: Solve for x
    x = 1,491.39/33.45
  6. Step 6: Final answer
    x = 44.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.