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Finding the Fourth Proportional to 134.75, 201.81 and 114.09

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Solution

The fourth proportional to 134.75, 201.81 and 114.09 is: 170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.75 : 201.81 = 114.09 : x
  2. Step 2: Convert to fraction form
    134.75/201.81 = 114.09/x
  3. Step 3: Cross multiply
    134.75x = 201.81 × 114.09
  4. Step 4: Simplify right side
    134.75x = 23,024.50
  5. Step 5: Solve for x
    x = 23,024.50/134.75
  6. Step 6: Final answer
    x = 170.87

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Why These Related Problems?

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