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Finding the Fourth Proportional to 135.12, 187.20 and 132.24

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Solution

The fourth proportional to 135.12, 187.20 and 132.24 is: 183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.12 : 187.20 = 132.24 : x
  2. Step 2: Convert to fraction form
    135.12/187.20 = 132.24/x
  3. Step 3: Cross multiply
    135.12x = 187.20 × 132.24
  4. Step 4: Simplify right side
    135.12x = 24,755.33
  5. Step 5: Solve for x
    x = 24,755.33/135.12
  6. Step 6: Final answer
    x = 183.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.