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Finding the Fourth Proportional to 30.80, 46.11 and 27.80

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Solution

The fourth proportional to 30.80, 46.11 and 27.80 is: 41.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.80 : 46.11 = 27.80 : x
  2. Step 2: Convert to fraction form
    30.80/46.11 = 27.80/x
  3. Step 3: Cross multiply
    30.80x = 46.11 × 27.80
  4. Step 4: Simplify right side
    30.80x = 1,281.86
  5. Step 5: Solve for x
    x = 1,281.86/30.80
  6. Step 6: Final answer
    x = 41.62

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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.