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Finding the Fourth Proportional to 135.45, 203.09 and 54.32

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Solution

The fourth proportional to 135.45, 203.09 and 54.32 is: 81.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.45 : 203.09 = 54.32 : x
  2. Step 2: Convert to fraction form
    135.45/203.09 = 54.32/x
  3. Step 3: Cross multiply
    135.45x = 203.09 × 54.32
  4. Step 4: Simplify right side
    135.45x = 11,030.56
  5. Step 5: Solve for x
    x = 11,030.56/135.45
  6. Step 6: Final answer
    x = 81.44

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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.