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Finding the Fourth Proportional to 66.85, 92.23 and 57.05

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Solution

The fourth proportional to 66.85, 92.23 and 57.05 is: 78.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.85 : 92.23 = 57.05 : x
  2. Step 2: Convert to fraction form
    66.85/92.23 = 57.05/x
  3. Step 3: Cross multiply
    66.85x = 92.23 × 57.05
  4. Step 4: Simplify right side
    66.85x = 5,261.72
  5. Step 5: Solve for x
    x = 5,261.72/66.85
  6. Step 6: Final answer
    x = 78.71

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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.