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Finding the Fourth Proportional to 69.61, 96.04 and 41.96

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Solution

The fourth proportional to 69.61, 96.04 and 41.96 is: 57.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.61 : 96.04 = 41.96 : x
  2. Step 2: Convert to fraction form
    69.61/96.04 = 41.96/x
  3. Step 3: Cross multiply
    69.61x = 96.04 × 41.96
  4. Step 4: Simplify right side
    69.61x = 4,029.49
  5. Step 5: Solve for x
    x = 4,029.49/69.61
  6. Step 6: Final answer
    x = 57.89

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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.