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Finding the Fourth Proportional to 41.82, 63.06 and 38.84

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Solution

The fourth proportional to 41.82, 63.06 and 38.84 is: 58.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.82 : 63.06 = 38.84 : x
  2. Step 2: Convert to fraction form
    41.82/63.06 = 38.84/x
  3. Step 3: Cross multiply
    41.82x = 63.06 × 38.84
  4. Step 4: Simplify right side
    41.82x = 2,449.25
  5. Step 5: Solve for x
    x = 2,449.25/41.82
  6. Step 6: Final answer
    x = 58.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.