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Finding the Fourth Proportional to 50.14, 69.10 and 47.78

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Solution

The fourth proportional to 50.14, 69.10 and 47.78 is: 65.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.14 : 69.10 = 47.78 : x
  2. Step 2: Convert to fraction form
    50.14/69.10 = 47.78/x
  3. Step 3: Cross multiply
    50.14x = 69.10 × 47.78
  4. Step 4: Simplify right side
    50.14x = 3,301.60
  5. Step 5: Solve for x
    x = 3,301.60/50.14
  6. Step 6: Final answer
    x = 65.85

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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.