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Finding the Fourth Proportional to 81.46, 122.68 and 66.27

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Solution

The fourth proportional to 81.46, 122.68 and 66.27 is: 99.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.46 : 122.68 = 66.27 : x
  2. Step 2: Convert to fraction form
    81.46/122.68 = 66.27/x
  3. Step 3: Cross multiply
    81.46x = 122.68 × 66.27
  4. Step 4: Simplify right side
    81.46x = 8,130.00
  5. Step 5: Solve for x
    x = 8,130.00/81.46
  6. Step 6: Final answer
    x = 99.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.