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Finding the Fourth Proportional to 132, 196.86 and 122.88

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Solution

The fourth proportional to 132, 196.86 and 122.88 is: 183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132 : 196.86 = 122.88 : x
  2. Step 2: Convert to fraction form
    132/196.86 = 122.88/x
  3. Step 3: Cross multiply
    132x = 196.86 × 122.88
  4. Step 4: Simplify right side
    132x = 24,190.16
  5. Step 5: Solve for x
    x = 24,190.16/132
  6. Step 6: Final answer
    x = 183.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.