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Finding the Fourth Proportional to 109.06, 150.44 and 76.37

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Solution

The fourth proportional to 109.06, 150.44 and 76.37 is: 105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.06 : 150.44 = 76.37 : x
  2. Step 2: Convert to fraction form
    109.06/150.44 = 76.37/x
  3. Step 3: Cross multiply
    109.06x = 150.44 × 76.37
  4. Step 4: Simplify right side
    109.06x = 11,487.97
  5. Step 5: Solve for x
    x = 11,487.97/109.06
  6. Step 6: Final answer
    x = 105.34

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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.