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Finding the Fourth Proportional to 66.83, 92.11 and 54.52

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Solution

The fourth proportional to 66.83, 92.11 and 54.52 is: 75.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.83 : 92.11 = 54.52 : x
  2. Step 2: Convert to fraction form
    66.83/92.11 = 54.52/x
  3. Step 3: Cross multiply
    66.83x = 92.11 × 54.52
  4. Step 4: Simplify right side
    66.83x = 5,022.24
  5. Step 5: Solve for x
    x = 5,022.24/66.83
  6. Step 6: Final answer
    x = 75.16

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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.