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Finding the Fourth Proportional to 50.06, 75.13 and 33.77

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Solution

The fourth proportional to 50.06, 75.13 and 33.77 is: 50.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.06 : 75.13 = 33.77 : x
  2. Step 2: Convert to fraction form
    50.06/75.13 = 33.77/x
  3. Step 3: Cross multiply
    50.06x = 75.13 × 33.77
  4. Step 4: Simplify right side
    50.06x = 2,536.68
  5. Step 5: Solve for x
    x = 2,536.68/50.06
  6. Step 6: Final answer
    x = 50.68

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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.