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Finding the Fourth Proportional to 50.69, 76.04 and 20.23

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Solution

The fourth proportional to 50.69, 76.04 and 20.23 is: 30.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.69 : 76.04 = 20.23 : x
  2. Step 2: Convert to fraction form
    50.69/76.04 = 20.23/x
  3. Step 3: Cross multiply
    50.69x = 76.04 × 20.23
  4. Step 4: Simplify right side
    50.69x = 1,538.50
  5. Step 5: Solve for x
    x = 1,538.50/50.69
  6. Step 6: Final answer
    x = 30.35

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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.