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Finding the Fourth Proportional to 135.84, 203.36 and 116.44

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Solution

The fourth proportional to 135.84, 203.36 and 116.44 is: 174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.84 : 203.36 = 116.44 : x
  2. Step 2: Convert to fraction form
    135.84/203.36 = 116.44/x
  3. Step 3: Cross multiply
    135.84x = 203.36 × 116.44
  4. Step 4: Simplify right side
    135.84x = 23,679.24
  5. Step 5: Solve for x
    x = 23,679.24/135.84
  6. Step 6: Final answer
    x = 174.32

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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.