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Finding the Fourth Proportional to 134.67, 184.49 and 129.81

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Solution

The fourth proportional to 134.67, 184.49 and 129.81 is: 177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.67 : 184.49 = 129.81 : x
  2. Step 2: Convert to fraction form
    134.67/184.49 = 129.81/x
  3. Step 3: Cross multiply
    134.67x = 184.49 × 129.81
  4. Step 4: Simplify right side
    134.67x = 23,947.72
  5. Step 5: Solve for x
    x = 23,947.72/134.67
  6. Step 6: Final answer
    x = 177.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.