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Finding the Fourth Proportional to 33.84, 46.44 and 31.80

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Solution

The fourth proportional to 33.84, 46.44 and 31.80 is: 43.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.84 : 46.44 = 31.80 : x
  2. Step 2: Convert to fraction form
    33.84/46.44 = 31.80/x
  3. Step 3: Cross multiply
    33.84x = 46.44 × 31.80
  4. Step 4: Simplify right side
    33.84x = 1,476.79
  5. Step 5: Solve for x
    x = 1,476.79/33.84
  6. Step 6: Final answer
    x = 43.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.