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Finding the Fourth Proportional to 107.91, 161.82 and 50.13

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Solution

The fourth proportional to 107.91, 161.82 and 50.13 is: 75.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.91 : 161.82 = 50.13 : x
  2. Step 2: Convert to fraction form
    107.91/161.82 = 50.13/x
  3. Step 3: Cross multiply
    107.91x = 161.82 × 50.13
  4. Step 4: Simplify right side
    107.91x = 8,112.04
  5. Step 5: Solve for x
    x = 8,112.04/107.91
  6. Step 6: Final answer
    x = 75.17

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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.