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Finding the Fourth Proportional to 77.72, 115.72 and 76.91

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Solution

The fourth proportional to 77.72, 115.72 and 76.91 is: 114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.72 : 115.72 = 76.91 : x
  2. Step 2: Convert to fraction form
    77.72/115.72 = 76.91/x
  3. Step 3: Cross multiply
    77.72x = 115.72 × 76.91
  4. Step 4: Simplify right side
    77.72x = 8,900.03
  5. Step 5: Solve for x
    x = 8,900.03/77.72
  6. Step 6: Final answer
    x = 114.51

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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.