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Finding the Fourth Proportional to 50.85, 76.29 and 29.17

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Solution

The fourth proportional to 50.85, 76.29 and 29.17 is: 43.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.85 : 76.29 = 29.17 : x
  2. Step 2: Convert to fraction form
    50.85/76.29 = 29.17/x
  3. Step 3: Cross multiply
    50.85x = 76.29 × 29.17
  4. Step 4: Simplify right side
    50.85x = 2,224.85
  5. Step 5: Solve for x
    x = 2,224.85/50.85
  6. Step 6: Final answer
    x = 43.76

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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.