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Finding the Fourth Proportional to 135.35, 203.19 and 112.80

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Solution

The fourth proportional to 135.35, 203.19 and 112.80 is: 169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.35 : 203.19 = 112.80 : x
  2. Step 2: Convert to fraction form
    135.35/203.19 = 112.80/x
  3. Step 3: Cross multiply
    135.35x = 203.19 × 112.80
  4. Step 4: Simplify right side
    135.35x = 22,919.83
  5. Step 5: Solve for x
    x = 22,919.83/135.35
  6. Step 6: Final answer
    x = 169.34

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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.