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Finding the Fourth Proportional to 50.03, 75.06 and 30.80

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Solution

The fourth proportional to 50.03, 75.06 and 30.80 is: 46.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.03 : 75.06 = 30.80 : x
  2. Step 2: Convert to fraction form
    50.03/75.06 = 30.80/x
  3. Step 3: Cross multiply
    50.03x = 75.06 × 30.80
  4. Step 4: Simplify right side
    50.03x = 2,311.47
  5. Step 5: Solve for x
    x = 2,311.47/50.03
  6. Step 6: Final answer
    x = 46.21

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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.