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Finding the Fourth Proportional to 50.41, 75.60 and 14.33

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Solution

The fourth proportional to 50.41, 75.60 and 14.33 is: 21.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.41 : 75.60 = 14.33 : x
  2. Step 2: Convert to fraction form
    50.41/75.60 = 14.33/x
  3. Step 3: Cross multiply
    50.41x = 75.60 × 14.33
  4. Step 4: Simplify right side
    50.41x = 1,083.35
  5. Step 5: Solve for x
    x = 1,083.35/50.41
  6. Step 6: Final answer
    x = 21.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.