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Finding the Fourth Proportional to 109.20, 150.69 and 84.66

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Solution

The fourth proportional to 109.20, 150.69 and 84.66 is: 116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.20 : 150.69 = 84.66 : x
  2. Step 2: Convert to fraction form
    109.20/150.69 = 84.66/x
  3. Step 3: Cross multiply
    109.20x = 150.69 × 84.66
  4. Step 4: Simplify right side
    109.20x = 12,757.42
  5. Step 5: Solve for x
    x = 12,757.42/109.20
  6. Step 6: Final answer
    x = 116.83

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