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Finding the Fourth Proportional to 107.70, 161.64 and 82.05

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Solution

The fourth proportional to 107.70, 161.64 and 82.05 is: 123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.70 : 161.64 = 82.05 : x
  2. Step 2: Convert to fraction form
    107.70/161.64 = 82.05/x
  3. Step 3: Cross multiply
    107.70x = 161.64 × 82.05
  4. Step 4: Simplify right side
    107.70x = 13,262.56
  5. Step 5: Solve for x
    x = 13,262.56/107.70
  6. Step 6: Final answer
    x = 123.14

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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.