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Finding the Fourth Proportional to 33.41, 46.04 and 31.46

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Solution

The fourth proportional to 33.41, 46.04 and 31.46 is: 43.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.41 : 46.04 = 31.46 : x
  2. Step 2: Convert to fraction form
    33.41/46.04 = 31.46/x
  3. Step 3: Cross multiply
    33.41x = 46.04 × 31.46
  4. Step 4: Simplify right side
    33.41x = 1,448.03
  5. Step 5: Solve for x
    x = 1,448.03/33.41
  6. Step 6: Final answer
    x = 43.34

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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.