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Finding the Fourth Proportional to 45.89, 68.77 and 23.05

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Solution

The fourth proportional to 45.89, 68.77 and 23.05 is: 34.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.89 : 68.77 = 23.05 : x
  2. Step 2: Convert to fraction form
    45.89/68.77 = 23.05/x
  3. Step 3: Cross multiply
    45.89x = 68.77 × 23.05
  4. Step 4: Simplify right side
    45.89x = 1,584.69
  5. Step 5: Solve for x
    x = 1,584.69/45.89
  6. Step 6: Final answer
    x = 34.54

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