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Finding the Fourth Proportional to 154.87, 232.31 and 68.09

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Solution

The fourth proportional to 154.87, 232.31 and 68.09 is: 102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.87 : 232.31 = 68.09 : x
  2. Step 2: Convert to fraction form
    154.87/232.31 = 68.09/x
  3. Step 3: Cross multiply
    154.87x = 232.31 × 68.09
  4. Step 4: Simplify right side
    154.87x = 15,817.00
  5. Step 5: Solve for x
    x = 15,817.00/154.87
  6. Step 6: Final answer
    x = 102.13

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Why These Related Problems?

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