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Finding the Fourth Proportional to 150.27, 225.35 and 89.31

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Solution

The fourth proportional to 150.27, 225.35 and 89.31 is: 133.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.27 : 225.35 = 89.31 : x
  2. Step 2: Convert to fraction form
    150.27/225.35 = 89.31/x
  3. Step 3: Cross multiply
    150.27x = 225.35 × 89.31
  4. Step 4: Simplify right side
    150.27x = 20,126.74
  5. Step 5: Solve for x
    x = 20,126.74/150.27
  6. Step 6: Final answer
    x = 133.94

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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.