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Finding the Fourth Proportional to 154.31, 231.73 and 106.25

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Solution

The fourth proportional to 154.31, 231.73 and 106.25 is: 159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.31 : 231.73 = 106.25 : x
  2. Step 2: Convert to fraction form
    154.31/231.73 = 106.25/x
  3. Step 3: Cross multiply
    154.31x = 231.73 × 106.25
  4. Step 4: Simplify right side
    154.31x = 24,619.89
  5. Step 5: Solve for x
    x = 24,619.89/154.31
  6. Step 6: Final answer
    x = 159.55

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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.