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Finding the Fourth Proportional to 131.97, 196.93 and 131.22

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Solution

The fourth proportional to 131.97, 196.93 and 131.22 is: 195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.97 : 196.93 = 131.22 : x
  2. Step 2: Convert to fraction form
    131.97/196.93 = 131.22/x
  3. Step 3: Cross multiply
    131.97x = 196.93 × 131.22
  4. Step 4: Simplify right side
    131.97x = 25,841.15
  5. Step 5: Solve for x
    x = 25,841.15/131.97
  6. Step 6: Final answer
    x = 195.81

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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.