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Finding the Fourth Proportional to 109, 150.24 and 76.33

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Solution

The fourth proportional to 109, 150.24 and 76.33 is: 105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109 : 150.24 = 76.33 : x
  2. Step 2: Convert to fraction form
    109/150.24 = 76.33/x
  3. Step 3: Cross multiply
    109x = 150.24 × 76.33
  4. Step 4: Simplify right side
    109x = 11,467.82
  5. Step 5: Solve for x
    x = 11,467.82/109
  6. Step 6: Final answer
    x = 105.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.