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Finding the Fourth Proportional to 135.30, 202.89 and 112.62

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Solution

The fourth proportional to 135.30, 202.89 and 112.62 is: 168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.30 : 202.89 = 112.62 : x
  2. Step 2: Convert to fraction form
    135.30/202.89 = 112.62/x
  3. Step 3: Cross multiply
    135.30x = 202.89 × 112.62
  4. Step 4: Simplify right side
    135.30x = 22,849.47
  5. Step 5: Solve for x
    x = 22,849.47/135.30
  6. Step 6: Final answer
    x = 168.88

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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.