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Finding the Fourth Proportional to 75.56, 104.90 and 73.33

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Solution

The fourth proportional to 75.56, 104.90 and 73.33 is: 101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.56 : 104.90 = 73.33 : x
  2. Step 2: Convert to fraction form
    75.56/104.90 = 73.33/x
  3. Step 3: Cross multiply
    75.56x = 104.90 × 73.33
  4. Step 4: Simplify right side
    75.56x = 7,692.32
  5. Step 5: Solve for x
    x = 7,692.32/75.56
  6. Step 6: Final answer
    x = 101.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.