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Finding the Fourth Proportional to 134.38, 201.30 and 107.00

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Solution

The fourth proportional to 134.38, 201.30 and 107.00 is: 160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.38 : 201.30 = 107.00 : x
  2. Step 2: Convert to fraction form
    134.38/201.30 = 107.00/x
  3. Step 3: Cross multiply
    134.38x = 201.30 × 107.00
  4. Step 4: Simplify right side
    134.38x = 21,540.18
  5. Step 5: Solve for x
    x = 21,540.18/134.38
  6. Step 6: Final answer
    x = 160.29

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