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Finding the Fourth Proportional to 77.44, 115.56 and 75.74

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Solution

The fourth proportional to 77.44, 115.56 and 75.74 is: 113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.44 : 115.56 = 75.74 : x
  2. Step 2: Convert to fraction form
    77.44/115.56 = 75.74/x
  3. Step 3: Cross multiply
    77.44x = 115.56 × 75.74
  4. Step 4: Simplify right side
    77.44x = 8,752.51
  5. Step 5: Solve for x
    x = 8,752.51/77.44
  6. Step 6: Final answer
    x = 113.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.