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Finding the Fourth Proportional to 135.92, 203.84 and 44.60

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Solution

The fourth proportional to 135.92, 203.84 and 44.60 is: 66.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.92 : 203.84 = 44.60 : x
  2. Step 2: Convert to fraction form
    135.92/203.84 = 44.60/x
  3. Step 3: Cross multiply
    135.92x = 203.84 × 44.60
  4. Step 4: Simplify right side
    135.92x = 9,090.02
  5. Step 5: Solve for x
    x = 9,090.02/135.92
  6. Step 6: Final answer
    x = 66.88

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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.