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Finding the Fourth Proportional to 57.55, 85.92 and 48.44

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Solution

The fourth proportional to 57.55, 85.92 and 48.44 is: 72.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.55 : 85.92 = 48.44 : x
  2. Step 2: Convert to fraction form
    57.55/85.92 = 48.44/x
  3. Step 3: Cross multiply
    57.55x = 85.92 × 48.44
  4. Step 4: Simplify right side
    57.55x = 4,161.54
  5. Step 5: Solve for x
    x = 4,161.54/57.55
  6. Step 6: Final answer
    x = 72.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.