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Finding the Fourth Proportional to 50.34, 69.46 and 37.24

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Solution

The fourth proportional to 50.34, 69.46 and 37.24 is: 51.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.34 : 69.46 = 37.24 : x
  2. Step 2: Convert to fraction form
    50.34/69.46 = 37.24/x
  3. Step 3: Cross multiply
    50.34x = 69.46 × 37.24
  4. Step 4: Simplify right side
    50.34x = 2,586.69
  5. Step 5: Solve for x
    x = 2,586.69/50.34
  6. Step 6: Final answer
    x = 51.38

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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.