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Finding the Fourth Proportional to 135.45, 203.16 and 108.72

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Solution

The fourth proportional to 135.45, 203.16 and 108.72 is: 163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.45 : 203.16 = 108.72 : x
  2. Step 2: Convert to fraction form
    135.45/203.16 = 108.72/x
  3. Step 3: Cross multiply
    135.45x = 203.16 × 108.72
  4. Step 4: Simplify right side
    135.45x = 22,087.56
  5. Step 5: Solve for x
    x = 22,087.56/135.45
  6. Step 6: Final answer
    x = 163.07

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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.