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Finding the Fourth Proportional to 75.21, 103.74 and 50.65

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Solution

The fourth proportional to 75.21, 103.74 and 50.65 is: 69.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.21 : 103.74 = 50.65 : x
  2. Step 2: Convert to fraction form
    75.21/103.74 = 50.65/x
  3. Step 3: Cross multiply
    75.21x = 103.74 × 50.65
  4. Step 4: Simplify right side
    75.21x = 5,254.43
  5. Step 5: Solve for x
    x = 5,254.43/75.21
  6. Step 6: Final answer
    x = 69.86

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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.