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Finding the Fourth Proportional to 57.24, 78.92 and 37.56

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Solution

The fourth proportional to 57.24, 78.92 and 37.56 is: 51.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.24 : 78.92 = 37.56 : x
  2. Step 2: Convert to fraction form
    57.24/78.92 = 37.56/x
  3. Step 3: Cross multiply
    57.24x = 78.92 × 37.56
  4. Step 4: Simplify right side
    57.24x = 2,964.24
  5. Step 5: Solve for x
    x = 2,964.24/57.24
  6. Step 6: Final answer
    x = 51.79

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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.