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Finding the Fourth Proportional to 69.82, 105.38 and 69.82

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Solution

The fourth proportional to 69.82, 105.38 and 69.82 is: 105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.82 : 105.38 = 69.82 : x
  2. Step 2: Convert to fraction form
    69.82/105.38 = 69.82/x
  3. Step 3: Cross multiply
    69.82x = 105.38 × 69.82
  4. Step 4: Simplify right side
    69.82x = 7,357.63
  5. Step 5: Solve for x
    x = 7,357.63/69.82
  6. Step 6: Final answer
    x = 105.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.