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Finding the Fourth Proportional to 150.13, 225.31 and 92.42

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Solution

The fourth proportional to 150.13, 225.31 and 92.42 is: 138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.13 : 225.31 = 92.42 : x
  2. Step 2: Convert to fraction form
    150.13/225.31 = 92.42/x
  3. Step 3: Cross multiply
    150.13x = 225.31 × 92.42
  4. Step 4: Simplify right side
    150.13x = 20,823.15
  5. Step 5: Solve for x
    x = 20,823.15/150.13
  6. Step 6: Final answer
    x = 138.70

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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.