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Finding the Fourth Proportional to 50.58, 75.89 and 20.14

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Solution

The fourth proportional to 50.58, 75.89 and 20.14 is: 30.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.58 : 75.89 = 20.14 : x
  2. Step 2: Convert to fraction form
    50.58/75.89 = 20.14/x
  3. Step 3: Cross multiply
    50.58x = 75.89 × 20.14
  4. Step 4: Simplify right side
    50.58x = 1,528.14
  5. Step 5: Solve for x
    x = 1,528.14/50.58
  6. Step 6: Final answer
    x = 30.21

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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.