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Finding the Fourth Proportional to 50.29, 75.43 and 19.85

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Solution

The fourth proportional to 50.29, 75.43 and 19.85 is: 29.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.29 : 75.43 = 19.85 : x
  2. Step 2: Convert to fraction form
    50.29/75.43 = 19.85/x
  3. Step 3: Cross multiply
    50.29x = 75.43 × 19.85
  4. Step 4: Simplify right side
    50.29x = 1,497.19
  5. Step 5: Solve for x
    x = 1,497.19/50.29
  6. Step 6: Final answer
    x = 29.77

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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.