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Finding the Fourth Proportional to 154.70, 231.79 and 93.65

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Solution

The fourth proportional to 154.70, 231.79 and 93.65 is: 140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.70 : 231.79 = 93.65 : x
  2. Step 2: Convert to fraction form
    154.70/231.79 = 93.65/x
  3. Step 3: Cross multiply
    154.70x = 231.79 × 93.65
  4. Step 4: Simplify right side
    154.70x = 21,705.97
  5. Step 5: Solve for x
    x = 21,705.97/154.70
  6. Step 6: Final answer
    x = 140.31

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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.