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Finding the Fourth Proportional to 82.22, 122.74 and 70.86

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Solution

The fourth proportional to 82.22, 122.74 and 70.86 is: 105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.22 : 122.74 = 70.86 : x
  2. Step 2: Convert to fraction form
    82.22/122.74 = 70.86/x
  3. Step 3: Cross multiply
    82.22x = 122.74 × 70.86
  4. Step 4: Simplify right side
    82.22x = 8,697.36
  5. Step 5: Solve for x
    x = 8,697.36/82.22
  6. Step 6: Final answer
    x = 105.78

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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.