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Finding the Fourth Proportional to 77.97, 107.59 and 43.00

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Solution

The fourth proportional to 77.97, 107.59 and 43.00 is: 59.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.97 : 107.59 = 43.00 : x
  2. Step 2: Convert to fraction form
    77.97/107.59 = 43.00/x
  3. Step 3: Cross multiply
    77.97x = 107.59 × 43.00
  4. Step 4: Simplify right side
    77.97x = 4,626.21
  5. Step 5: Solve for x
    x = 4,626.21/77.97
  6. Step 6: Final answer
    x = 59.34

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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.