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Finding the Fourth Proportional to 50.85, 70.14 and 31.44

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Solution

The fourth proportional to 50.85, 70.14 and 31.44 is: 43.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.85 : 70.14 = 31.44 : x
  2. Step 2: Convert to fraction form
    50.85/70.14 = 31.44/x
  3. Step 3: Cross multiply
    50.85x = 70.14 × 31.44
  4. Step 4: Simplify right side
    50.85x = 2,205.58
  5. Step 5: Solve for x
    x = 2,205.58/50.85
  6. Step 6: Final answer
    x = 43.37

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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.