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Finding the Fourth Proportional to 50.78, 70.14 and 34.48

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Solution

The fourth proportional to 50.78, 70.14 and 34.48 is: 47.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.78 : 70.14 = 34.48 : x
  2. Step 2: Convert to fraction form
    50.78/70.14 = 34.48/x
  3. Step 3: Cross multiply
    50.78x = 70.14 × 34.48
  4. Step 4: Simplify right side
    50.78x = 2,418.43
  5. Step 5: Solve for x
    x = 2,418.43/50.78
  6. Step 6: Final answer
    x = 47.63

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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.