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Finding the Fourth Proportional to 71.05, 105.89 and 69.69

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Solution

The fourth proportional to 71.05, 105.89 and 69.69 is: 103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.05 : 105.89 = 69.69 : x
  2. Step 2: Convert to fraction form
    71.05/105.89 = 69.69/x
  3. Step 3: Cross multiply
    71.05x = 105.89 × 69.69
  4. Step 4: Simplify right side
    71.05x = 7,379.47
  5. Step 5: Solve for x
    x = 7,379.47/71.05
  6. Step 6: Final answer
    x = 103.86

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