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Finding the Fourth Proportional to 82.02, 122.84 and 45.86

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Solution

The fourth proportional to 82.02, 122.84 and 45.86 is: 68.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.02 : 122.84 = 45.86 : x
  2. Step 2: Convert to fraction form
    82.02/122.84 = 45.86/x
  3. Step 3: Cross multiply
    82.02x = 122.84 × 45.86
  4. Step 4: Simplify right side
    82.02x = 5,633.44
  5. Step 5: Solve for x
    x = 5,633.44/82.02
  6. Step 6: Final answer
    x = 68.68

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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.