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Finding the Fourth Proportional to 137.05, 205.29 and 135.43

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Solution

The fourth proportional to 137.05, 205.29 and 135.43 is: 202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.05 : 205.29 = 135.43 : x
  2. Step 2: Convert to fraction form
    137.05/205.29 = 135.43/x
  3. Step 3: Cross multiply
    137.05x = 205.29 × 135.43
  4. Step 4: Simplify right side
    137.05x = 27,801.91
  5. Step 5: Solve for x
    x = 27,801.91/137.05
  6. Step 6: Final answer
    x = 202.86

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