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Finding the Fourth Proportional to 84.46, 126.62 and 76.94

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Solution

The fourth proportional to 84.46, 126.62 and 76.94 is: 115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.46 : 126.62 = 76.94 : x
  2. Step 2: Convert to fraction form
    84.46/126.62 = 76.94/x
  3. Step 3: Cross multiply
    84.46x = 126.62 × 76.94
  4. Step 4: Simplify right side
    84.46x = 9,741.13
  5. Step 5: Solve for x
    x = 9,741.13/84.46
  6. Step 6: Final answer
    x = 115.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.