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Finding the Fourth Proportional to 165.14, 247.56 and 83.89

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Solution

The fourth proportional to 165.14, 247.56 and 83.89 is: 125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.14 : 247.56 = 83.89 : x
  2. Step 2: Convert to fraction form
    165.14/247.56 = 83.89/x
  3. Step 3: Cross multiply
    165.14x = 247.56 × 83.89
  4. Step 4: Simplify right side
    165.14x = 20,766.15
  5. Step 5: Solve for x
    x = 20,766.15/165.14
  6. Step 6: Final answer
    x = 125.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.