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Finding the Fourth Proportional to 57.26, 78.92 and 41.47

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Solution

The fourth proportional to 57.26, 78.92 and 41.47 is: 57.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.26 : 78.92 = 41.47 : x
  2. Step 2: Convert to fraction form
    57.26/78.92 = 41.47/x
  3. Step 3: Cross multiply
    57.26x = 78.92 × 41.47
  4. Step 4: Simplify right side
    57.26x = 3,272.41
  5. Step 5: Solve for x
    x = 3,272.41/57.26
  6. Step 6: Final answer
    x = 57.15

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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.