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Finding the Fourth Proportional to 50.67, 75.94 and 35.46

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Solution

The fourth proportional to 50.67, 75.94 and 35.46 is: 53.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.67 : 75.94 = 35.46 : x
  2. Step 2: Convert to fraction form
    50.67/75.94 = 35.46/x
  3. Step 3: Cross multiply
    50.67x = 75.94 × 35.46
  4. Step 4: Simplify right side
    50.67x = 2,692.83
  5. Step 5: Solve for x
    x = 2,692.83/50.67
  6. Step 6: Final answer
    x = 53.14

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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.