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Finding the Fourth Proportional to 69.05, 95.29 and 41.42

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Solution

The fourth proportional to 69.05, 95.29 and 41.42 is: 57.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.05 : 95.29 = 41.42 : x
  2. Step 2: Convert to fraction form
    69.05/95.29 = 41.42/x
  3. Step 3: Cross multiply
    69.05x = 95.29 × 41.42
  4. Step 4: Simplify right side
    69.05x = 3,946.91
  5. Step 5: Solve for x
    x = 3,946.91/69.05
  6. Step 6: Final answer
    x = 57.16

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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.