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Finding the Fourth Proportional to 154.12, 231.45 and 103.09

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Solution

The fourth proportional to 154.12, 231.45 and 103.09 is: 154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.12 : 231.45 = 103.09 : x
  2. Step 2: Convert to fraction form
    154.12/231.45 = 103.09/x
  3. Step 3: Cross multiply
    154.12x = 231.45 × 103.09
  4. Step 4: Simplify right side
    154.12x = 23,860.24
  5. Step 5: Solve for x
    x = 23,860.24/154.12
  6. Step 6: Final answer
    x = 154.81

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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.