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Finding the Fourth Proportional to 109.74, 150.41 and 108.30

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Solution

The fourth proportional to 109.74, 150.41 and 108.30 is: 148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.74 : 150.41 = 108.30 : x
  2. Step 2: Convert to fraction form
    109.74/150.41 = 108.30/x
  3. Step 3: Cross multiply
    109.74x = 150.41 × 108.30
  4. Step 4: Simplify right side
    109.74x = 16,288.86
  5. Step 5: Solve for x
    x = 16,288.86/109.74
  6. Step 6: Final answer
    x = 148.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.