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Finding the Fourth Proportional to 69.36, 103.94 and 52.19

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Solution

The fourth proportional to 69.36, 103.94 and 52.19 is: 78.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.36 : 103.94 = 52.19 : x
  2. Step 2: Convert to fraction form
    69.36/103.94 = 52.19/x
  3. Step 3: Cross multiply
    69.36x = 103.94 × 52.19
  4. Step 4: Simplify right side
    69.36x = 5,425.02
  5. Step 5: Solve for x
    x = 5,425.02/69.36
  6. Step 6: Final answer
    x = 78.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.