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Finding the Fourth Proportional to 50.13, 69.15 and 33.77

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Solution

The fourth proportional to 50.13, 69.15 and 33.77 is: 46.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.13 : 69.15 = 33.77 : x
  2. Step 2: Convert to fraction form
    50.13/69.15 = 33.77/x
  3. Step 3: Cross multiply
    50.13x = 69.15 × 33.77
  4. Step 4: Simplify right side
    50.13x = 2,334.85
  5. Step 5: Solve for x
    x = 2,334.85/50.13
  6. Step 6: Final answer
    x = 46.58

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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.