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Finding the Fourth Proportional to 84.08, 126.26 and 51.65

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Solution

The fourth proportional to 84.08, 126.26 and 51.65 is: 77.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.08 : 126.26 = 51.65 : x
  2. Step 2: Convert to fraction form
    84.08/126.26 = 51.65/x
  3. Step 3: Cross multiply
    84.08x = 126.26 × 51.65
  4. Step 4: Simplify right side
    84.08x = 6,520.83
  5. Step 5: Solve for x
    x = 6,520.83/84.08
  6. Step 6: Final answer
    x = 77.56

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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.