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Finding the Fourth Proportional to 154.36, 231.24 and 96.40

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Solution

The fourth proportional to 154.36, 231.24 and 96.40 is: 144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.36 : 231.24 = 96.40 : x
  2. Step 2: Convert to fraction form
    154.36/231.24 = 96.40/x
  3. Step 3: Cross multiply
    154.36x = 231.24 × 96.40
  4. Step 4: Simplify right side
    154.36x = 22,291.54
  5. Step 5: Solve for x
    x = 22,291.54/154.36
  6. Step 6: Final answer
    x = 144.41

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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.