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Finding the Fourth Proportional to 165.05, 247.43 and 107.13

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Solution

The fourth proportional to 165.05, 247.43 and 107.13 is: 160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.05 : 247.43 = 107.13 : x
  2. Step 2: Convert to fraction form
    165.05/247.43 = 107.13/x
  3. Step 3: Cross multiply
    165.05x = 247.43 × 107.13
  4. Step 4: Simplify right side
    165.05x = 26,507.44
  5. Step 5: Solve for x
    x = 26,507.44/165.05
  6. Step 6: Final answer
    x = 160.61

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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.