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Finding the Fourth Proportional to 107.86, 161.84 and 53.82

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Solution

The fourth proportional to 107.86, 161.84 and 53.82 is: 80.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.86 : 161.84 = 53.82 : x
  2. Step 2: Convert to fraction form
    107.86/161.84 = 53.82/x
  3. Step 3: Cross multiply
    107.86x = 161.84 × 53.82
  4. Step 4: Simplify right side
    107.86x = 8,710.23
  5. Step 5: Solve for x
    x = 8,710.23/107.86
  6. Step 6: Final answer
    x = 80.75

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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.