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Finding the Fourth Proportional to 57.06, 85.41 and 45.67

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Solution

The fourth proportional to 57.06, 85.41 and 45.67 is: 68.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.06 : 85.41 = 45.67 : x
  2. Step 2: Convert to fraction form
    57.06/85.41 = 45.67/x
  3. Step 3: Cross multiply
    57.06x = 85.41 × 45.67
  4. Step 4: Simplify right side
    57.06x = 3,900.67
  5. Step 5: Solve for x
    x = 3,900.67/57.06
  6. Step 6: Final answer
    x = 68.36

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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.