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Finding the Fourth Proportional to 57.19, 85.78 and 53.54

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Solution

The fourth proportional to 57.19, 85.78 and 53.54 is: 80.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.19 : 85.78 = 53.54 : x
  2. Step 2: Convert to fraction form
    57.19/85.78 = 53.54/x
  3. Step 3: Cross multiply
    57.19x = 85.78 × 53.54
  4. Step 4: Simplify right side
    57.19x = 4,593.25
  5. Step 5: Solve for x
    x = 4,593.25/57.19
  6. Step 6: Final answer
    x = 80.32

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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.