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Finding the Fourth Proportional to 50.39, 69.59 and 35.90

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Solution

The fourth proportional to 50.39, 69.59 and 35.90 is: 49.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.39 : 69.59 = 35.90 : x
  2. Step 2: Convert to fraction form
    50.39/69.59 = 35.90/x
  3. Step 3: Cross multiply
    50.39x = 69.59 × 35.90
  4. Step 4: Simplify right side
    50.39x = 2,498.02
  5. Step 5: Solve for x
    x = 2,498.02/50.39
  6. Step 6: Final answer
    x = 49.58

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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.