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Finding the Fourth Proportional to 57.55, 85.84 and 52.69

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Solution

The fourth proportional to 57.55, 85.84 and 52.69 is: 78.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.55 : 85.84 = 52.69 : x
  2. Step 2: Convert to fraction form
    57.55/85.84 = 52.69/x
  3. Step 3: Cross multiply
    57.55x = 85.84 × 52.69
  4. Step 4: Simplify right side
    57.55x = 4,522.91
  5. Step 5: Solve for x
    x = 4,522.91/57.55
  6. Step 6: Final answer
    x = 78.59

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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.