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Finding the Fourth Proportional to 77.80, 107.11 and 59.26

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Solution

The fourth proportional to 77.80, 107.11 and 59.26 is: 81.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.80 : 107.11 = 59.26 : x
  2. Step 2: Convert to fraction form
    77.80/107.11 = 59.26/x
  3. Step 3: Cross multiply
    77.80x = 107.11 × 59.26
  4. Step 4: Simplify right side
    77.80x = 6,347.34
  5. Step 5: Solve for x
    x = 6,347.34/77.80
  6. Step 6: Final answer
    x = 81.59

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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.