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Finding the Fourth Proportional to 69.06, 95.43 and 59.82

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Solution

The fourth proportional to 69.06, 95.43 and 59.82 is: 82.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.06 : 95.43 = 59.82 : x
  2. Step 2: Convert to fraction form
    69.06/95.43 = 59.82/x
  3. Step 3: Cross multiply
    69.06x = 95.43 × 59.82
  4. Step 4: Simplify right side
    69.06x = 5,708.62
  5. Step 5: Solve for x
    x = 5,708.62/69.06
  6. Step 6: Final answer
    x = 82.66

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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.