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Finding the Fourth Proportional to 135.38, 203.06 and 112.70

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Solution

The fourth proportional to 135.38, 203.06 and 112.70 is: 169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.38 : 203.06 = 112.70 : x
  2. Step 2: Convert to fraction form
    135.38/203.06 = 112.70/x
  3. Step 3: Cross multiply
    135.38x = 203.06 × 112.70
  4. Step 4: Simplify right side
    135.38x = 22,884.86
  5. Step 5: Solve for x
    x = 22,884.86/135.38
  6. Step 6: Final answer
    x = 169.04

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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.