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Finding the Fourth Proportional to 165.19, 247.94 and 84.09

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Solution

The fourth proportional to 165.19, 247.94 and 84.09 is: 126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.19 : 247.94 = 84.09 : x
  2. Step 2: Convert to fraction form
    165.19/247.94 = 84.09/x
  3. Step 3: Cross multiply
    165.19x = 247.94 × 84.09
  4. Step 4: Simplify right side
    165.19x = 20,849.27
  5. Step 5: Solve for x
    x = 20,849.27/165.19
  6. Step 6: Final answer
    x = 126.21

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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.