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Finding the Fourth Proportional to 154.36, 231.46 and 102.97

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Solution

The fourth proportional to 154.36, 231.46 and 102.97 is: 154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.36 : 231.46 = 102.97 : x
  2. Step 2: Convert to fraction form
    154.36/231.46 = 102.97/x
  3. Step 3: Cross multiply
    154.36x = 231.46 × 102.97
  4. Step 4: Simplify right side
    154.36x = 23,833.47
  5. Step 5: Solve for x
    x = 23,833.47/154.36
  6. Step 6: Final answer
    x = 154.41

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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.