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Finding the Fourth Proportional to 41.62, 57.46 and 27.08

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Solution

The fourth proportional to 41.62, 57.46 and 27.08 is: 37.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.62 : 57.46 = 27.08 : x
  2. Step 2: Convert to fraction form
    41.62/57.46 = 27.08/x
  3. Step 3: Cross multiply
    41.62x = 57.46 × 27.08
  4. Step 4: Simplify right side
    41.62x = 1,556.02
  5. Step 5: Solve for x
    x = 1,556.02/41.62
  6. Step 6: Final answer
    x = 37.39

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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.