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Finding the Fourth Proportional to 77.75, 115.84 and 76.64

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Solution

The fourth proportional to 77.75, 115.84 and 76.64 is: 114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.75 : 115.84 = 76.64 : x
  2. Step 2: Convert to fraction form
    77.75/115.84 = 76.64/x
  3. Step 3: Cross multiply
    77.75x = 115.84 × 76.64
  4. Step 4: Simplify right side
    77.75x = 8,878.09
  5. Step 5: Solve for x
    x = 8,878.09/77.75
  6. Step 6: Final answer
    x = 114.19

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Why These Related Problems?

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