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Finding the Fourth Proportional to 109, 150.34 and 79.84

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Solution

The fourth proportional to 109, 150.34 and 79.84 is: 110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109 : 150.34 = 79.84 : x
  2. Step 2: Convert to fraction form
    109/150.34 = 79.84/x
  3. Step 3: Cross multiply
    109x = 150.34 × 79.84
  4. Step 4: Simplify right side
    109x = 12,003.15
  5. Step 5: Solve for x
    x = 12,003.15/109
  6. Step 6: Final answer
    x = 110.12

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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.