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Finding the Fourth Proportional to 131.53, 196.97 and 128.09

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Solution

The fourth proportional to 131.53, 196.97 and 128.09 is: 191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.53 : 196.97 = 128.09 : x
  2. Step 2: Convert to fraction form
    131.53/196.97 = 128.09/x
  3. Step 3: Cross multiply
    131.53x = 196.97 × 128.09
  4. Step 4: Simplify right side
    131.53x = 25,228.63
  5. Step 5: Solve for x
    x = 25,228.63/131.53
  6. Step 6: Final answer
    x = 191.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.