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Finding the Fourth Proportional to 150.85, 226.27 and 42.64

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Solution

The fourth proportional to 150.85, 226.27 and 42.64 is: 63.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.85 : 226.27 = 42.64 : x
  2. Step 2: Convert to fraction form
    150.85/226.27 = 42.64/x
  3. Step 3: Cross multiply
    150.85x = 226.27 × 42.64
  4. Step 4: Simplify right side
    150.85x = 9,647.02
  5. Step 5: Solve for x
    x = 9,647.02/150.85
  6. Step 6: Final answer
    x = 63.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.