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Finding the Fourth Proportional to 50, 68.96 and 35.44

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Solution

The fourth proportional to 50, 68.96 and 35.44 is: 48.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50 : 68.96 = 35.44 : x
  2. Step 2: Convert to fraction form
    50/68.96 = 35.44/x
  3. Step 3: Cross multiply
    50x = 68.96 × 35.44
  4. Step 4: Simplify right side
    50x = 2,443.94
  5. Step 5: Solve for x
    x = 2,443.94/50
  6. Step 6: Final answer
    x = 48.88

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1.5x scale

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.