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Finding the Fourth Proportional to 154.82, 231.84 and 82.70

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Solution

The fourth proportional to 154.82, 231.84 and 82.70 is: 123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.82 : 231.84 = 82.70 : x
  2. Step 2: Convert to fraction form
    154.82/231.84 = 82.70/x
  3. Step 3: Cross multiply
    154.82x = 231.84 × 82.70
  4. Step 4: Simplify right side
    154.82x = 19,173.17
  5. Step 5: Solve for x
    x = 19,173.17/154.82
  6. Step 6: Final answer
    x = 123.84

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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.