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Finding the Fourth Proportional to 50.78, 70.02 and 37.82

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Solution

The fourth proportional to 50.78, 70.02 and 37.82 is: 52.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.78 : 70.02 = 37.82 : x
  2. Step 2: Convert to fraction form
    50.78/70.02 = 37.82/x
  3. Step 3: Cross multiply
    50.78x = 70.02 × 37.82
  4. Step 4: Simplify right side
    50.78x = 2,648.16
  5. Step 5: Solve for x
    x = 2,648.16/50.78
  6. Step 6: Final answer
    x = 52.15

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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.