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Finding the Fourth Proportional to 57.28, 85.77 and 39.28

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Solution

The fourth proportional to 57.28, 85.77 and 39.28 is: 58.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.28 : 85.77 = 39.28 : x
  2. Step 2: Convert to fraction form
    57.28/85.77 = 39.28/x
  3. Step 3: Cross multiply
    57.28x = 85.77 × 39.28
  4. Step 4: Simplify right side
    57.28x = 3,369.05
  5. Step 5: Solve for x
    x = 3,369.05/57.28
  6. Step 6: Final answer
    x = 58.82

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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.