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Finding the Fourth Proportional to 107.98, 161.88 and 83.86

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Solution

The fourth proportional to 107.98, 161.88 and 83.86 is: 125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.98 : 161.88 = 83.86 : x
  2. Step 2: Convert to fraction form
    107.98/161.88 = 83.86/x
  3. Step 3: Cross multiply
    107.98x = 161.88 × 83.86
  4. Step 4: Simplify right side
    107.98x = 13,575.26
  5. Step 5: Solve for x
    x = 13,575.26/107.98
  6. Step 6: Final answer
    x = 125.72

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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.