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Finding the Fourth Proportional to 109.76, 165 and 82.76

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Solution

The fourth proportional to 109.76, 165 and 82.76 is: 124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.76 : 165 = 82.76 : x
  2. Step 2: Convert to fraction form
    109.76/165 = 82.76/x
  3. Step 3: Cross multiply
    109.76x = 165 × 82.76
  4. Step 4: Simplify right side
    109.76x = 13,655.40
  5. Step 5: Solve for x
    x = 13,655.40/109.76
  6. Step 6: Final answer
    x = 124.41

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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.