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Finding the Fourth Proportional to 82.12, 122.36 and 77.72

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Solution

The fourth proportional to 82.12, 122.36 and 77.72 is: 115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.12 : 122.36 = 77.72 : x
  2. Step 2: Convert to fraction form
    82.12/122.36 = 77.72/x
  3. Step 3: Cross multiply
    82.12x = 122.36 × 77.72
  4. Step 4: Simplify right side
    82.12x = 9,509.82
  5. Step 5: Solve for x
    x = 9,509.82/82.12
  6. Step 6: Final answer
    x = 115.80

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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.