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Finding the Fourth Proportional to 69.39, 103.94 and 52.08

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Solution

The fourth proportional to 69.39, 103.94 and 52.08 is: 78.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.39 : 103.94 = 52.08 : x
  2. Step 2: Convert to fraction form
    69.39/103.94 = 52.08/x
  3. Step 3: Cross multiply
    69.39x = 103.94 × 52.08
  4. Step 4: Simplify right side
    69.39x = 5,413.11
  5. Step 5: Solve for x
    x = 5,413.11/69.39
  6. Step 6: Final answer
    x = 78.01

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Why These Related Problems?

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