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Finding the Fourth Proportional to 109.54, 150.31 and 107.62

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Solution

The fourth proportional to 109.54, 150.31 and 107.62 is: 147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.54 : 150.31 = 107.62 : x
  2. Step 2: Convert to fraction form
    109.54/150.31 = 107.62/x
  3. Step 3: Cross multiply
    109.54x = 150.31 × 107.62
  4. Step 4: Simplify right side
    109.54x = 16,176.36
  5. Step 5: Solve for x
    x = 16,176.36/109.54
  6. Step 6: Final answer
    x = 147.68

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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.