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Finding the Fourth Proportional to 136.96, 189.03 and 77.96

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Solution

The fourth proportional to 136.96, 189.03 and 77.96 is: 107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.96 : 189.03 = 77.96 : x
  2. Step 2: Convert to fraction form
    136.96/189.03 = 77.96/x
  3. Step 3: Cross multiply
    136.96x = 189.03 × 77.96
  4. Step 4: Simplify right side
    136.96x = 14,736.57
  5. Step 5: Solve for x
    x = 14,736.57/136.96
  6. Step 6: Final answer
    x = 107.59

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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.