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Finding the Fourth Proportional to 33.80, 46.58 and 28.34

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Solution

The fourth proportional to 33.80, 46.58 and 28.34 is: 39.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.80 : 46.58 = 28.34 : x
  2. Step 2: Convert to fraction form
    33.80/46.58 = 28.34/x
  3. Step 3: Cross multiply
    33.80x = 46.58 × 28.34
  4. Step 4: Simplify right side
    33.80x = 1,320.08
  5. Step 5: Solve for x
    x = 1,320.08/33.80
  6. Step 6: Final answer
    x = 39.06

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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.