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Finding the Fourth Proportional to 131.82, 196.23 and 126.54

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Solution

The fourth proportional to 131.82, 196.23 and 126.54 is: 188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.82 : 196.23 = 126.54 : x
  2. Step 2: Convert to fraction form
    131.82/196.23 = 126.54/x
  3. Step 3: Cross multiply
    131.82x = 196.23 × 126.54
  4. Step 4: Simplify right side
    131.82x = 24,830.94
  5. Step 5: Solve for x
    x = 24,830.94/131.82
  6. Step 6: Final answer
    x = 188.37

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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.