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Finding the Fourth Proportional to 154.68, 231.91 and 109.35

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Solution

The fourth proportional to 154.68, 231.91 and 109.35 is: 163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.68 : 231.91 = 109.35 : x
  2. Step 2: Convert to fraction form
    154.68/231.91 = 109.35/x
  3. Step 3: Cross multiply
    154.68x = 231.91 × 109.35
  4. Step 4: Simplify right side
    154.68x = 25,359.70
  5. Step 5: Solve for x
    x = 25,359.70/154.68
  6. Step 6: Final answer
    x = 163.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.