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Finding the Fourth Proportional to 57.36, 85.62 and 53.73

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Solution

The fourth proportional to 57.36, 85.62 and 53.73 is: 80.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.36 : 85.62 = 53.73 : x
  2. Step 2: Convert to fraction form
    57.36/85.62 = 53.73/x
  3. Step 3: Cross multiply
    57.36x = 85.62 × 53.73
  4. Step 4: Simplify right side
    57.36x = 4,600.36
  5. Step 5: Solve for x
    x = 4,600.36/57.36
  6. Step 6: Final answer
    x = 80.20

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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.