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Finding the Fourth Proportional to 69.22, 95.48 and 41.59

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Solution

The fourth proportional to 69.22, 95.48 and 41.59 is: 57.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.22 : 95.48 = 41.59 : x
  2. Step 2: Convert to fraction form
    69.22/95.48 = 41.59/x
  3. Step 3: Cross multiply
    69.22x = 95.48 × 41.59
  4. Step 4: Simplify right side
    69.22x = 3,971.01
  5. Step 5: Solve for x
    x = 3,971.01/69.22
  6. Step 6: Final answer
    x = 57.37

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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.