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Finding the Fourth Proportional to 50.02, 69.02 and 28.19

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Solution

The fourth proportional to 50.02, 69.02 and 28.19 is: 38.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.02 : 69.02 = 28.19 : x
  2. Step 2: Convert to fraction form
    50.02/69.02 = 28.19/x
  3. Step 3: Cross multiply
    50.02x = 69.02 × 28.19
  4. Step 4: Simplify right side
    50.02x = 1,945.40
  5. Step 5: Solve for x
    x = 1,945.40/50.02
  6. Step 6: Final answer
    x = 38.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.