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Finding the Fourth Proportional to 135.41, 202.69 and 108.05

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Solution

The fourth proportional to 135.41, 202.69 and 108.05 is: 161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.41 : 202.69 = 108.05 : x
  2. Step 2: Convert to fraction form
    135.41/202.69 = 108.05/x
  3. Step 3: Cross multiply
    135.41x = 202.69 × 108.05
  4. Step 4: Simplify right side
    135.41x = 21,901.30
  5. Step 5: Solve for x
    x = 21,901.30/135.41
  6. Step 6: Final answer
    x = 161.74

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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.