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Finding the Fourth Proportional to 38.62, 58.16 and 33.25

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Solution

The fourth proportional to 38.62, 58.16 and 33.25 is: 50.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.62 : 58.16 = 33.25 : x
  2. Step 2: Convert to fraction form
    38.62/58.16 = 33.25/x
  3. Step 3: Cross multiply
    38.62x = 58.16 × 33.25
  4. Step 4: Simplify right side
    38.62x = 1,933.82
  5. Step 5: Solve for x
    x = 1,933.82/38.62
  6. Step 6: Final answer
    x = 50.07

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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.