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Finding the Fourth Proportional to 50.15, 75.22 and 14.09

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Solution

The fourth proportional to 50.15, 75.22 and 14.09 is: 21.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.15 : 75.22 = 14.09 : x
  2. Step 2: Convert to fraction form
    50.15/75.22 = 14.09/x
  3. Step 3: Cross multiply
    50.15x = 75.22 × 14.09
  4. Step 4: Simplify right side
    50.15x = 1,059.85
  5. Step 5: Solve for x
    x = 1,059.85/50.15
  6. Step 6: Final answer
    x = 21.13

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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.