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Finding the Fourth Proportional to 69.82, 104.13 and 65.57

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Solution

The fourth proportional to 69.82, 104.13 and 65.57 is: 97.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.82 : 104.13 = 65.57 : x
  2. Step 2: Convert to fraction form
    69.82/104.13 = 65.57/x
  3. Step 3: Cross multiply
    69.82x = 104.13 × 65.57
  4. Step 4: Simplify right side
    69.82x = 6,827.28
  5. Step 5: Solve for x
    x = 6,827.28/69.82
  6. Step 6: Final answer
    x = 97.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.