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Finding the Fourth Proportional to 154.04, 231.06 and 81.86

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Solution

The fourth proportional to 154.04, 231.06 and 81.86 is: 122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.04 : 231.06 = 81.86 : x
  2. Step 2: Convert to fraction form
    154.04/231.06 = 81.86/x
  3. Step 3: Cross multiply
    154.04x = 231.06 × 81.86
  4. Step 4: Simplify right side
    154.04x = 18,914.57
  5. Step 5: Solve for x
    x = 18,914.57/154.04
  6. Step 6: Final answer
    x = 122.79

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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.