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Finding the Fourth Proportional to 154.41, 231.68 and 82.25

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Solution

The fourth proportional to 154.41, 231.68 and 82.25 is: 123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.41 : 231.68 = 82.25 : x
  2. Step 2: Convert to fraction form
    154.41/231.68 = 82.25/x
  3. Step 3: Cross multiply
    154.41x = 231.68 × 82.25
  4. Step 4: Simplify right side
    154.41x = 19,055.68
  5. Step 5: Solve for x
    x = 19,055.68/154.41
  6. Step 6: Final answer
    x = 123.41

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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.