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Finding the Fourth Proportional to 131.82, 196.33 and 123.39

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Solution

The fourth proportional to 131.82, 196.33 and 123.39 is: 183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.82 : 196.33 = 123.39 : x
  2. Step 2: Convert to fraction form
    131.82/196.33 = 123.39/x
  3. Step 3: Cross multiply
    131.82x = 196.33 × 123.39
  4. Step 4: Simplify right side
    131.82x = 24,223.56
  5. Step 5: Solve for x
    x = 24,223.56/131.82
  6. Step 6: Final answer
    x = 183.76

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