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Finding the Fourth Proportional to 135.46, 185.71 and 133.03

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Solution

The fourth proportional to 135.46, 185.71 and 133.03 is: 182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.46 : 185.71 = 133.03 : x
  2. Step 2: Convert to fraction form
    135.46/185.71 = 133.03/x
  3. Step 3: Cross multiply
    135.46x = 185.71 × 133.03
  4. Step 4: Simplify right side
    135.46x = 24,705.00
  5. Step 5: Solve for x
    x = 24,705.00/135.46
  6. Step 6: Final answer
    x = 182.38

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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.