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Finding the Fourth Proportional to 119.50, 165 and 82.74

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Solution

The fourth proportional to 119.50, 165 and 82.74 is: 114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.50 : 165 = 82.74 : x
  2. Step 2: Convert to fraction form
    119.50/165 = 82.74/x
  3. Step 3: Cross multiply
    119.50x = 165 × 82.74
  4. Step 4: Simplify right side
    119.50x = 13,652.10
  5. Step 5: Solve for x
    x = 13,652.10/119.50
  6. Step 6: Final answer
    x = 114.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.