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Finding the Fourth Proportional to 50.38, 74.98 and 50

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Solution

The fourth proportional to 50.38, 74.98 and 50 is: 74.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.38 : 74.98 = 50 : x
  2. Step 2: Convert to fraction form
    50.38/74.98 = 50/x
  3. Step 3: Cross multiply
    50.38x = 74.98 × 50
  4. Step 4: Simplify right side
    50.38x = 3,749
  5. Step 5: Solve for x
    x = 3,749/50.38
  6. Step 6: Final answer
    x = 74.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.