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Finding the Fourth Proportional to 134.47, 201.21 and 80.08

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Solution

The fourth proportional to 134.47, 201.21 and 80.08 is: 119.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.47 : 201.21 = 80.08 : x
  2. Step 2: Convert to fraction form
    134.47/201.21 = 80.08/x
  3. Step 3: Cross multiply
    134.47x = 201.21 × 80.08
  4. Step 4: Simplify right side
    134.47x = 16,112.90
  5. Step 5: Solve for x
    x = 16,112.90/134.47
  6. Step 6: Final answer
    x = 119.83

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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.