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Finding the Fourth Proportional to 154.44, 213.12 and 96.12

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Solution

The fourth proportional to 154.44, 213.12 and 96.12 is: 132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.44 : 213.12 = 96.12 : x
  2. Step 2: Convert to fraction form
    154.44/213.12 = 96.12/x
  3. Step 3: Cross multiply
    154.44x = 213.12 × 96.12
  4. Step 4: Simplify right side
    154.44x = 20,485.09
  5. Step 5: Solve for x
    x = 20,485.09/154.44
  6. Step 6: Final answer
    x = 132.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.