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Finding the Fourth Proportional to 107.98, 161.86 and 69.48

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Solution

The fourth proportional to 107.98, 161.86 and 69.48 is: 104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.98 : 161.86 = 69.48 : x
  2. Step 2: Convert to fraction form
    107.98/161.86 = 69.48/x
  3. Step 3: Cross multiply
    107.98x = 161.86 × 69.48
  4. Step 4: Simplify right side
    107.98x = 11,246.03
  5. Step 5: Solve for x
    x = 11,246.03/107.98
  6. Step 6: Final answer
    x = 104.15

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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.