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Finding the Fourth Proportional to 135.56, 202.97 and 109.82

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Solution

The fourth proportional to 135.56, 202.97 and 109.82 is: 164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.56 : 202.97 = 109.82 : x
  2. Step 2: Convert to fraction form
    135.56/202.97 = 109.82/x
  3. Step 3: Cross multiply
    135.56x = 202.97 × 109.82
  4. Step 4: Simplify right side
    135.56x = 22,288.60
  5. Step 5: Solve for x
    x = 22,288.60/135.56
  6. Step 6: Final answer
    x = 164.42

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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.