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Finding the Fourth Proportional to 154.23, 231.09 and 72.96

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Solution

The fourth proportional to 154.23, 231.09 and 72.96 is: 109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.23 : 231.09 = 72.96 : x
  2. Step 2: Convert to fraction form
    154.23/231.09 = 72.96/x
  3. Step 3: Cross multiply
    154.23x = 231.09 × 72.96
  4. Step 4: Simplify right side
    154.23x = 16,860.33
  5. Step 5: Solve for x
    x = 16,860.33/154.23
  6. Step 6: Final answer
    x = 109.32

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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.