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Finding the Fourth Proportional to 84.58, 126.78 and 76.66

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Solution

The fourth proportional to 84.58, 126.78 and 76.66 is: 114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.58 : 126.78 = 76.66 : x
  2. Step 2: Convert to fraction form
    84.58/126.78 = 76.66/x
  3. Step 3: Cross multiply
    84.58x = 126.78 × 76.66
  4. Step 4: Simplify right side
    84.58x = 9,718.95
  5. Step 5: Solve for x
    x = 9,718.95/84.58
  6. Step 6: Final answer
    x = 114.91

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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.