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Finding the Fourth Proportional to 77.00, 115.38 and 44.42

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Solution

The fourth proportional to 77.00, 115.38 and 44.42 is: 66.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.00 : 115.38 = 44.42 : x
  2. Step 2: Convert to fraction form
    77.00/115.38 = 44.42/x
  3. Step 3: Cross multiply
    77.00x = 115.38 × 44.42
  4. Step 4: Simplify right side
    77.00x = 5,124.60
  5. Step 5: Solve for x
    x = 5,124.60/77.00
  6. Step 6: Final answer
    x = 66.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.