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Finding the Fourth Proportional to 77.82, 107.36 and 56

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Solution

The fourth proportional to 77.82, 107.36 and 56 is: 77.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.82 : 107.36 = 56 : x
  2. Step 2: Convert to fraction form
    77.82/107.36 = 56/x
  3. Step 3: Cross multiply
    77.82x = 107.36 × 56
  4. Step 4: Simplify right side
    77.82x = 6,011.88
  5. Step 5: Solve for x
    x = 6,011.88/77.82
  6. Step 6: Final answer
    x = 77.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.