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Finding the Fourth Proportional to 77.88, 107.48 and 43.38

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Solution

The fourth proportional to 77.88, 107.48 and 43.38 is: 59.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.88 : 107.48 = 43.38 : x
  2. Step 2: Convert to fraction form
    77.88/107.48 = 43.38/x
  3. Step 3: Cross multiply
    77.88x = 107.48 × 43.38
  4. Step 4: Simplify right side
    77.88x = 4,662.48
  5. Step 5: Solve for x
    x = 4,662.48/77.88
  6. Step 6: Final answer
    x = 59.87

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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.