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Finding the Fourth Proportional to 135.84, 186.23 and 133.41

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Solution

The fourth proportional to 135.84, 186.23 and 133.41 is: 182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.84 : 186.23 = 133.41 : x
  2. Step 2: Convert to fraction form
    135.84/186.23 = 133.41/x
  3. Step 3: Cross multiply
    135.84x = 186.23 × 133.41
  4. Step 4: Simplify right side
    135.84x = 24,844.94
  5. Step 5: Solve for x
    x = 24,844.94/135.84
  6. Step 6: Final answer
    x = 182.90

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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.