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Finding the Fourth Proportional to 135.09, 185.21 and 132.66

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Solution

The fourth proportional to 135.09, 185.21 and 132.66 is: 181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.09 : 185.21 = 132.66 : x
  2. Step 2: Convert to fraction form
    135.09/185.21 = 132.66/x
  3. Step 3: Cross multiply
    135.09x = 185.21 × 132.66
  4. Step 4: Simplify right side
    135.09x = 24,568.37
  5. Step 5: Solve for x
    x = 24,568.37/135.09
  6. Step 6: Final answer
    x = 181.87

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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.