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Finding the Fourth Proportional to 136.92, 189.04 and 87.82

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Solution

The fourth proportional to 136.92, 189.04 and 87.82 is: 121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.92 : 189.04 = 87.82 : x
  2. Step 2: Convert to fraction form
    136.92/189.04 = 87.82/x
  3. Step 3: Cross multiply
    136.92x = 189.04 × 87.82
  4. Step 4: Simplify right side
    136.92x = 16,601.49
  5. Step 5: Solve for x
    x = 16,601.49/136.92
  6. Step 6: Final answer
    x = 121.25

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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.