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Finding the Fourth Proportional to 150.61, 226.07 and 73.64

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Solution

The fourth proportional to 150.61, 226.07 and 73.64 is: 110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.61 : 226.07 = 73.64 : x
  2. Step 2: Convert to fraction form
    150.61/226.07 = 73.64/x
  3. Step 3: Cross multiply
    150.61x = 226.07 × 73.64
  4. Step 4: Simplify right side
    150.61x = 16,647.79
  5. Step 5: Solve for x
    x = 16,647.79/150.61
  6. Step 6: Final answer
    x = 110.54

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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.