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Finding the Fourth Proportional to 77.80, 107.38 and 55.96

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Solution

The fourth proportional to 77.80, 107.38 and 55.96 is: 77.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.80 : 107.38 = 55.96 : x
  2. Step 2: Convert to fraction form
    77.80/107.38 = 55.96/x
  3. Step 3: Cross multiply
    77.80x = 107.38 × 55.96
  4. Step 4: Simplify right side
    77.80x = 6,008.98
  5. Step 5: Solve for x
    x = 6,008.98/77.80
  6. Step 6: Final answer
    x = 77.24

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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.