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Finding the Fourth Proportional to 50.45, 69.65 and 34.09

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Solution

The fourth proportional to 50.45, 69.65 and 34.09 is: 47.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.45 : 69.65 = 34.09 : x
  2. Step 2: Convert to fraction form
    50.45/69.65 = 34.09/x
  3. Step 3: Cross multiply
    50.45x = 69.65 × 34.09
  4. Step 4: Simplify right side
    50.45x = 2,374.37
  5. Step 5: Solve for x
    x = 2,374.37/50.45
  6. Step 6: Final answer
    x = 47.06

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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.