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Finding the Fourth Proportional to 50.46, 69.08 and 50.34

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Solution

The fourth proportional to 50.46, 69.08 and 50.34 is: 68.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.46 : 69.08 = 50.34 : x
  2. Step 2: Convert to fraction form
    50.46/69.08 = 50.34/x
  3. Step 3: Cross multiply
    50.46x = 69.08 × 50.34
  4. Step 4: Simplify right side
    50.46x = 3,477.24
  5. Step 5: Solve for x
    x = 3,477.24/50.46
  6. Step 6: Final answer
    x = 68.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.