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Finding the Fourth Proportional to 50.10, 69.10 and 34.57

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Solution

The fourth proportional to 50.10, 69.10 and 34.57 is: 47.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.10 : 69.10 = 34.57 : x
  2. Step 2: Convert to fraction form
    50.10/69.10 = 34.57/x
  3. Step 3: Cross multiply
    50.10x = 69.10 × 34.57
  4. Step 4: Simplify right side
    50.10x = 2,388.79
  5. Step 5: Solve for x
    x = 2,388.79/50.10
  6. Step 6: Final answer
    x = 47.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.