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Finding the Fourth Proportional to 69.05, 95.29 and 37.96

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Solution

The fourth proportional to 69.05, 95.29 and 37.96 is: 52.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.05 : 95.29 = 37.96 : x
  2. Step 2: Convert to fraction form
    69.05/95.29 = 37.96/x
  3. Step 3: Cross multiply
    69.05x = 95.29 × 37.96
  4. Step 4: Simplify right side
    69.05x = 3,617.21
  5. Step 5: Solve for x
    x = 3,617.21/69.05
  6. Step 6: Final answer
    x = 52.39

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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.