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Finding the Fourth Proportional to 134.74, 202.14 and 80.56

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Solution

The fourth proportional to 134.74, 202.14 and 80.56 is: 120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.74 : 202.14 = 80.56 : x
  2. Step 2: Convert to fraction form
    134.74/202.14 = 80.56/x
  3. Step 3: Cross multiply
    134.74x = 202.14 × 80.56
  4. Step 4: Simplify right side
    134.74x = 16,284.40
  5. Step 5: Solve for x
    x = 16,284.40/134.74
  6. Step 6: Final answer
    x = 120.86

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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.