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Finding the Fourth Proportional to 69.60, 103.83 and 57.54

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Solution

The fourth proportional to 69.60, 103.83 and 57.54 is: 85.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.60 : 103.83 = 57.54 : x
  2. Step 2: Convert to fraction form
    69.60/103.83 = 57.54/x
  3. Step 3: Cross multiply
    69.60x = 103.83 × 57.54
  4. Step 4: Simplify right side
    69.60x = 5,974.38
  5. Step 5: Solve for x
    x = 5,974.38/69.60
  6. Step 6: Final answer
    x = 85.84

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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.