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Finding the Fourth Proportional to 150.39, 225.27 and 96.12

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Solution

The fourth proportional to 150.39, 225.27 and 96.12 is: 143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.39 : 225.27 = 96.12 : x
  2. Step 2: Convert to fraction form
    150.39/225.27 = 96.12/x
  3. Step 3: Cross multiply
    150.39x = 225.27 × 96.12
  4. Step 4: Simplify right side
    150.39x = 21,652.95
  5. Step 5: Solve for x
    x = 21,652.95/150.39
  6. Step 6: Final answer
    x = 143.98

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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.