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Finding the Fourth Proportional to 90.44, 135.46 and 54.36

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Solution

The fourth proportional to 90.44, 135.46 and 54.36 is: 81.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.44 : 135.46 = 54.36 : x
  2. Step 2: Convert to fraction form
    90.44/135.46 = 54.36/x
  3. Step 3: Cross multiply
    90.44x = 135.46 × 54.36
  4. Step 4: Simplify right side
    90.44x = 7,363.61
  5. Step 5: Solve for x
    x = 7,363.61/90.44
  6. Step 6: Final answer
    x = 81.42

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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.