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Finding the Fourth Proportional to 154.31, 231.46 and 73.09

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Solution

The fourth proportional to 154.31, 231.46 and 73.09 is: 109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.31 : 231.46 = 73.09 : x
  2. Step 2: Convert to fraction form
    154.31/231.46 = 73.09/x
  3. Step 3: Cross multiply
    154.31x = 231.46 × 73.09
  4. Step 4: Simplify right side
    154.31x = 16,917.19
  5. Step 5: Solve for x
    x = 16,917.19/154.31
  6. Step 6: Final answer
    x = 109.63

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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.