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Finding the Fourth Proportional to 77.99, 107.56 and 57.26

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Solution

The fourth proportional to 77.99, 107.56 and 57.26 is: 78.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.99 : 107.56 = 57.26 : x
  2. Step 2: Convert to fraction form
    77.99/107.56 = 57.26/x
  3. Step 3: Cross multiply
    77.99x = 107.56 × 57.26
  4. Step 4: Simplify right side
    77.99x = 6,159.15
  5. Step 5: Solve for x
    x = 6,159.15/77.99
  6. Step 6: Final answer
    x = 78.97

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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.