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Finding the Fourth Proportional to 57.93, 86.74 and 50.33

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Solution

The fourth proportional to 57.93, 86.74 and 50.33 is: 75.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.93 : 86.74 = 50.33 : x
  2. Step 2: Convert to fraction form
    57.93/86.74 = 50.33/x
  3. Step 3: Cross multiply
    57.93x = 86.74 × 50.33
  4. Step 4: Simplify right side
    57.93x = 4,365.72
  5. Step 5: Solve for x
    x = 4,365.72/57.93
  6. Step 6: Final answer
    x = 75.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.