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Finding the Fourth Proportional to 50.46, 69.64 and 28.34

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Solution

The fourth proportional to 50.46, 69.64 and 28.34 is: 39.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.46 : 69.64 = 28.34 : x
  2. Step 2: Convert to fraction form
    50.46/69.64 = 28.34/x
  3. Step 3: Cross multiply
    50.46x = 69.64 × 28.34
  4. Step 4: Simplify right side
    50.46x = 1,973.57
  5. Step 5: Solve for x
    x = 1,973.57/50.46
  6. Step 6: Final answer
    x = 39.11

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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.