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Finding the Fourth Proportional to 154.14, 230.90 and 102.66

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Solution

The fourth proportional to 154.14, 230.90 and 102.66 is: 153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.14 : 230.90 = 102.66 : x
  2. Step 2: Convert to fraction form
    154.14/230.90 = 102.66/x
  3. Step 3: Cross multiply
    154.14x = 230.90 × 102.66
  4. Step 4: Simplify right side
    154.14x = 23,703.68
  5. Step 5: Solve for x
    x = 23,703.68/154.14
  6. Step 6: Final answer
    x = 153.78

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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.