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Finding the Fourth Proportional to 107.55, 161.07 and 81.84

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Solution

The fourth proportional to 107.55, 161.07 and 81.84 is: 122.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.55 : 161.07 = 81.84 : x
  2. Step 2: Convert to fraction form
    107.55/161.07 = 81.84/x
  3. Step 3: Cross multiply
    107.55x = 161.07 × 81.84
  4. Step 4: Simplify right side
    107.55x = 13,181.97
  5. Step 5: Solve for x
    x = 13,181.97/107.55
  6. Step 6: Final answer
    x = 122.57

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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.