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Finding the Fourth Proportional to 134.90, 201.38 and 114.38

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Solution

The fourth proportional to 134.90, 201.38 and 114.38 is: 170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.90 : 201.38 = 114.38 : x
  2. Step 2: Convert to fraction form
    134.90/201.38 = 114.38/x
  3. Step 3: Cross multiply
    134.90x = 201.38 × 114.38
  4. Step 4: Simplify right side
    134.90x = 23,033.84
  5. Step 5: Solve for x
    x = 23,033.84/134.90
  6. Step 6: Final answer
    x = 170.75

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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.