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Finding the Fourth Proportional to 84.69, 126.43 and 81.83

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Solution

The fourth proportional to 84.69, 126.43 and 81.83 is: 122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.69 : 126.43 = 81.83 : x
  2. Step 2: Convert to fraction form
    84.69/126.43 = 81.83/x
  3. Step 3: Cross multiply
    84.69x = 126.43 × 81.83
  4. Step 4: Simplify right side
    84.69x = 10,345.88
  5. Step 5: Solve for x
    x = 10,345.88/84.69
  6. Step 6: Final answer
    x = 122.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.