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Finding the Fourth Proportional to 69.57, 96.01 and 41.96

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Solution

The fourth proportional to 69.57, 96.01 and 41.96 is: 57.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.57 : 96.01 = 41.96 : x
  2. Step 2: Convert to fraction form
    69.57/96.01 = 41.96/x
  3. Step 3: Cross multiply
    69.57x = 96.01 × 41.96
  4. Step 4: Simplify right side
    69.57x = 4,027.89
  5. Step 5: Solve for x
    x = 4,027.89/69.57
  6. Step 6: Final answer
    x = 57.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.