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Finding the Fourth Proportional to 75.96, 104.72 and 59.33

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Solution

The fourth proportional to 75.96, 104.72 and 59.33 is: 81.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.96 : 104.72 = 59.33 : x
  2. Step 2: Convert to fraction form
    75.96/104.72 = 59.33/x
  3. Step 3: Cross multiply
    75.96x = 104.72 × 59.33
  4. Step 4: Simplify right side
    75.96x = 6,212.22
  5. Step 5: Solve for x
    x = 6,212.22/75.96
  6. Step 6: Final answer
    x = 81.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.