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Finding the Fourth Proportional to 82.07, 122.74 and 66.95

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Solution

The fourth proportional to 82.07, 122.74 and 66.95 is: 100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.07 : 122.74 = 66.95 : x
  2. Step 2: Convert to fraction form
    82.07/122.74 = 66.95/x
  3. Step 3: Cross multiply
    82.07x = 122.74 × 66.95
  4. Step 4: Simplify right side
    82.07x = 8,216.66
  5. Step 5: Solve for x
    x = 8,216.66/82.07
  6. Step 6: Final answer
    x = 100.12

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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.