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Finding the Fourth Proportional to 154.07, 230.98 and 96.31

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Solution

The fourth proportional to 154.07, 230.98 and 96.31 is: 144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.07 : 230.98 = 96.31 : x
  2. Step 2: Convert to fraction form
    154.07/230.98 = 96.31/x
  3. Step 3: Cross multiply
    154.07x = 230.98 × 96.31
  4. Step 4: Simplify right side
    154.07x = 22,245.68
  5. Step 5: Solve for x
    x = 22,245.68/154.07
  6. Step 6: Final answer
    x = 144.39

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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.