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Finding the Fourth Proportional to 137.82, 189.96 and 96.36

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Solution

The fourth proportional to 137.82, 189.96 and 96.36 is: 132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.82 : 189.96 = 96.36 : x
  2. Step 2: Convert to fraction form
    137.82/189.96 = 96.36/x
  3. Step 3: Cross multiply
    137.82x = 189.96 × 96.36
  4. Step 4: Simplify right side
    137.82x = 18,304.55
  5. Step 5: Solve for x
    x = 18,304.55/137.82
  6. Step 6: Final answer
    x = 132.81

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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.