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Finding the Fourth Proportional to 84.91, 126.67 and 76.41

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Solution

The fourth proportional to 84.91, 126.67 and 76.41 is: 113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.91 : 126.67 = 76.41 : x
  2. Step 2: Convert to fraction form
    84.91/126.67 = 76.41/x
  3. Step 3: Cross multiply
    84.91x = 126.67 × 76.41
  4. Step 4: Simplify right side
    84.91x = 9,678.85
  5. Step 5: Solve for x
    x = 9,678.85/84.91
  6. Step 6: Final answer
    x = 113.99

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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.