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Finding the Fourth Proportional to 135.24, 185.40 and 132.78

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Solution

The fourth proportional to 135.24, 185.40 and 132.78 is: 182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.24 : 185.40 = 132.78 : x
  2. Step 2: Convert to fraction form
    135.24/185.40 = 132.78/x
  3. Step 3: Cross multiply
    135.24x = 185.40 × 132.78
  4. Step 4: Simplify right side
    135.24x = 24,617.41
  5. Step 5: Solve for x
    x = 24,617.41/135.24
  6. Step 6: Final answer
    x = 182.03

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