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Finding the Fourth Proportional to 84.06, 115.74 and 76.68

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Solution

The fourth proportional to 84.06, 115.74 and 76.68 is: 105.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.06 : 115.74 = 76.68 : x
  2. Step 2: Convert to fraction form
    84.06/115.74 = 76.68/x
  3. Step 3: Cross multiply
    84.06x = 115.74 × 76.68
  4. Step 4: Simplify right side
    84.06x = 8,874.94
  5. Step 5: Solve for x
    x = 8,874.94/84.06
  6. Step 6: Final answer
    x = 105.58

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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.