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Finding the Fourth Proportional to 154.14, 231.04 and 100.05

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Solution

The fourth proportional to 154.14, 231.04 and 100.05 is: 149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.14 : 231.04 = 100.05 : x
  2. Step 2: Convert to fraction form
    154.14/231.04 = 100.05/x
  3. Step 3: Cross multiply
    154.14x = 231.04 × 100.05
  4. Step 4: Simplify right side
    154.14x = 23,115.55
  5. Step 5: Solve for x
    x = 23,115.55/154.14
  6. Step 6: Final answer
    x = 149.96

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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.