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Finding the Fourth Proportional to 102.75, 154.11 and 30.61

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Solution

The fourth proportional to 102.75, 154.11 and 30.61 is: 45.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.75 : 154.11 = 30.61 : x
  2. Step 2: Convert to fraction form
    102.75/154.11 = 30.61/x
  3. Step 3: Cross multiply
    102.75x = 154.11 × 30.61
  4. Step 4: Simplify right side
    102.75x = 4,717.31
  5. Step 5: Solve for x
    x = 4,717.31/102.75
  6. Step 6: Final answer
    x = 45.91

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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.