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Finding the Fourth Proportional to 107.82, 161.68 and 39.34

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Solution

The fourth proportional to 107.82, 161.68 and 39.34 is: 58.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.82 : 161.68 = 39.34 : x
  2. Step 2: Convert to fraction form
    107.82/161.68 = 39.34/x
  3. Step 3: Cross multiply
    107.82x = 161.68 × 39.34
  4. Step 4: Simplify right side
    107.82x = 6,360.49
  5. Step 5: Solve for x
    x = 6,360.49/107.82
  6. Step 6: Final answer
    x = 58.99

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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.