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Finding the Fourth Proportional to 57.34, 85.84 and 53.54

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Solution

The fourth proportional to 57.34, 85.84 and 53.54 is: 80.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.34 : 85.84 = 53.54 : x
  2. Step 2: Convert to fraction form
    57.34/85.84 = 53.54/x
  3. Step 3: Cross multiply
    57.34x = 85.84 × 53.54
  4. Step 4: Simplify right side
    57.34x = 4,595.87
  5. Step 5: Solve for x
    x = 4,595.87/57.34
  6. Step 6: Final answer
    x = 80.15

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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.