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Finding the Fourth Proportional to 109.13, 150.89 and 96.80

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Solution

The fourth proportional to 109.13, 150.89 and 96.80 is: 133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.13 : 150.89 = 96.80 : x
  2. Step 2: Convert to fraction form
    109.13/150.89 = 96.80/x
  3. Step 3: Cross multiply
    109.13x = 150.89 × 96.80
  4. Step 4: Simplify right side
    109.13x = 14,604.91
  5. Step 5: Solve for x
    x = 14,604.91/109.13
  6. Step 6: Final answer
    x = 133.84

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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.