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Finding the Fourth Proportional to 57.19, 78.91 and 37.75

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Solution

The fourth proportional to 57.19, 78.91 and 37.75 is: 52.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.19 : 78.91 = 37.75 : x
  2. Step 2: Convert to fraction form
    57.19/78.91 = 37.75/x
  3. Step 3: Cross multiply
    57.19x = 78.91 × 37.75
  4. Step 4: Simplify right side
    57.19x = 2,978.85
  5. Step 5: Solve for x
    x = 2,978.85/57.19
  6. Step 6: Final answer
    x = 52.09

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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.