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Finding the Fourth Proportional to 135.81, 186.18 and 133.68

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Solution

The fourth proportional to 135.81, 186.18 and 133.68 is: 183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.81 : 186.18 = 133.68 : x
  2. Step 2: Convert to fraction form
    135.81/186.18 = 133.68/x
  3. Step 3: Cross multiply
    135.81x = 186.18 × 133.68
  4. Step 4: Simplify right side
    135.81x = 24,887.87
  5. Step 5: Solve for x
    x = 24,887.87/135.81
  6. Step 6: Final answer
    x = 183.26

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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.