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Finding the Fourth Proportional to 50.63, 75.87 and 27.81

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Solution

The fourth proportional to 50.63, 75.87 and 27.81 is: 41.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.63 : 75.87 = 27.81 : x
  2. Step 2: Convert to fraction form
    50.63/75.87 = 27.81/x
  3. Step 3: Cross multiply
    50.63x = 75.87 × 27.81
  4. Step 4: Simplify right side
    50.63x = 2,109.94
  5. Step 5: Solve for x
    x = 2,109.94/50.63
  6. Step 6: Final answer
    x = 41.68

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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.