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Finding the Fourth Proportional to 131.17, 195.86 and 114.09

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Solution

The fourth proportional to 131.17, 195.86 and 114.09 is: 170.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.17 : 195.86 = 114.09 : x
  2. Step 2: Convert to fraction form
    131.17/195.86 = 114.09/x
  3. Step 3: Cross multiply
    131.17x = 195.86 × 114.09
  4. Step 4: Simplify right side
    131.17x = 22,344.69
  5. Step 5: Solve for x
    x = 22,344.69/131.17
  6. Step 6: Final answer
    x = 170.36

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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.