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Finding the Fourth Proportional to 427.90, 641.85 and 103.27

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Solution

The fourth proportional to 427.90, 641.85 and 103.27 is: 154.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.90 : 641.85 = 103.27 : x
  2. Step 2: Convert to fraction form
    427.90/641.85 = 103.27/x
  3. Step 3: Cross multiply
    427.90x = 641.85 × 103.27
  4. Step 4: Simplify right side
    427.90x = 66,282.24
  5. Step 5: Solve for x
    x = 66,282.24/427.90
  6. Step 6: Final answer
    x = 154.90

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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.