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Finding the Fourth Proportional to 103.00, 154.50 and 30.85

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Solution

The fourth proportional to 103.00, 154.50 and 30.85 is: 46.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.00 : 154.50 = 30.85 : x
  2. Step 2: Convert to fraction form
    103.00/154.50 = 30.85/x
  3. Step 3: Cross multiply
    103.00x = 154.50 × 30.85
  4. Step 4: Simplify right side
    103.00x = 4,765.55
  5. Step 5: Solve for x
    x = 4,765.55/103.00
  6. Step 6: Final answer
    x = 46.27

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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.