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Finding the Fourth Proportional to 50.46, 69.63 and 31.05

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Solution

The fourth proportional to 50.46, 69.63 and 31.05 is: 42.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.46 : 69.63 = 31.05 : x
  2. Step 2: Convert to fraction form
    50.46/69.63 = 31.05/x
  3. Step 3: Cross multiply
    50.46x = 69.63 × 31.05
  4. Step 4: Simplify right side
    50.46x = 2,162.01
  5. Step 5: Solve for x
    x = 2,162.01/50.46
  6. Step 6: Final answer
    x = 42.85

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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.