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Finding the Fourth Proportional to 90.24, 135.20 and 54.09

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Solution

The fourth proportional to 90.24, 135.20 and 54.09 is: 81.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.24 : 135.20 = 54.09 : x
  2. Step 2: Convert to fraction form
    90.24/135.20 = 54.09/x
  3. Step 3: Cross multiply
    90.24x = 135.20 × 54.09
  4. Step 4: Simplify right side
    90.24x = 7,313.61
  5. Step 5: Solve for x
    x = 7,313.61/90.24
  6. Step 6: Final answer
    x = 81.05

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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.