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Finding the Fourth Proportional to 154.02, 230.81 and 92.12

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Solution

The fourth proportional to 154.02, 230.81 and 92.12 is: 138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.02 : 230.81 = 92.12 : x
  2. Step 2: Convert to fraction form
    154.02/230.81 = 92.12/x
  3. Step 3: Cross multiply
    154.02x = 230.81 × 92.12
  4. Step 4: Simplify right side
    154.02x = 21,260.60
  5. Step 5: Solve for x
    x = 21,260.60/154.02
  6. Step 6: Final answer
    x = 138.04

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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.