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Finding the Fourth Proportional to 66.93, 92.42 and 49.54

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Solution

The fourth proportional to 66.93, 92.42 and 49.54 is: 68.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.93 : 92.42 = 49.54 : x
  2. Step 2: Convert to fraction form
    66.93/92.42 = 49.54/x
  3. Step 3: Cross multiply
    66.93x = 92.42 × 49.54
  4. Step 4: Simplify right side
    66.93x = 4,578.49
  5. Step 5: Solve for x
    x = 4,578.49/66.93
  6. Step 6: Final answer
    x = 68.41

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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.