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Finding the Fourth Proportional to 165.96, 229.14 and 107.82

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Solution

The fourth proportional to 165.96, 229.14 and 107.82 is: 148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.96 : 229.14 = 107.82 : x
  2. Step 2: Convert to fraction form
    165.96/229.14 = 107.82/x
  3. Step 3: Cross multiply
    165.96x = 229.14 × 107.82
  4. Step 4: Simplify right side
    165.96x = 24,705.87
  5. Step 5: Solve for x
    x = 24,705.87/165.96
  6. Step 6: Final answer
    x = 148.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.