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Finding the Fourth Proportional to 165.69, 248.09 and 107.74

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Solution

The fourth proportional to 165.69, 248.09 and 107.74 is: 161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.69 : 248.09 = 107.74 : x
  2. Step 2: Convert to fraction form
    165.69/248.09 = 107.74/x
  3. Step 3: Cross multiply
    165.69x = 248.09 × 107.74
  4. Step 4: Simplify right side
    165.69x = 26,729.22
  5. Step 5: Solve for x
    x = 26,729.22/165.69
  6. Step 6: Final answer
    x = 161.32

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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.