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Finding the Fourth Proportional to 45.68, 63.05 and 33.44

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Solution

The fourth proportional to 45.68, 63.05 and 33.44 is: 46.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.68 : 63.05 = 33.44 : x
  2. Step 2: Convert to fraction form
    45.68/63.05 = 33.44/x
  3. Step 3: Cross multiply
    45.68x = 63.05 × 33.44
  4. Step 4: Simplify right side
    45.68x = 2,107.91
  5. Step 5: Solve for x
    x = 2,107.91/45.68
  6. Step 6: Final answer
    x = 46.15

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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.