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Finding the Fourth Proportional to 134.92, 201.43 and 114.42

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Solution

The fourth proportional to 134.92, 201.43 and 114.42 is: 170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.92 : 201.43 = 114.42 : x
  2. Step 2: Convert to fraction form
    134.92/201.43 = 114.42/x
  3. Step 3: Cross multiply
    134.92x = 201.43 × 114.42
  4. Step 4: Simplify right side
    134.92x = 23,047.05
  5. Step 5: Solve for x
    x = 23,047.05/134.92
  6. Step 6: Final answer
    x = 170.82

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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.