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Finding the Fourth Proportional to 135.85, 203.82 and 75.02

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Solution

The fourth proportional to 135.85, 203.82 and 75.02 is: 112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.85 : 203.82 = 75.02 : x
  2. Step 2: Convert to fraction form
    135.85/203.82 = 75.02/x
  3. Step 3: Cross multiply
    135.85x = 203.82 × 75.02
  4. Step 4: Simplify right side
    135.85x = 15,290.60
  5. Step 5: Solve for x
    x = 15,290.60/135.85
  6. Step 6: Final answer
    x = 112.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.