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Finding the Fourth Proportional to 50.52, 75.79 and 20.09

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Solution

The fourth proportional to 50.52, 75.79 and 20.09 is: 30.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.52 : 75.79 = 20.09 : x
  2. Step 2: Convert to fraction form
    50.52/75.79 = 20.09/x
  3. Step 3: Cross multiply
    50.52x = 75.79 × 20.09
  4. Step 4: Simplify right side
    50.52x = 1,522.51
  5. Step 5: Solve for x
    x = 1,522.51/50.52
  6. Step 6: Final answer
    x = 30.13

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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.