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Finding the Fourth Proportional to 50.10, 69.09 and 47.54

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Solution

The fourth proportional to 50.10, 69.09 and 47.54 is: 65.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.10 : 69.09 = 47.54 : x
  2. Step 2: Convert to fraction form
    50.10/69.09 = 47.54/x
  3. Step 3: Cross multiply
    50.10x = 69.09 × 47.54
  4. Step 4: Simplify right side
    50.10x = 3,284.19
  5. Step 5: Solve for x
    x = 3,284.19/50.10
  6. Step 6: Final answer
    x = 65.55

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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.