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Finding the Fourth Proportional to 81.81, 123.26 and 81.07

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Solution

The fourth proportional to 81.81, 123.26 and 81.07 is: 122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.81 : 123.26 = 81.07 : x
  2. Step 2: Convert to fraction form
    81.81/123.26 = 81.07/x
  3. Step 3: Cross multiply
    81.81x = 123.26 × 81.07
  4. Step 4: Simplify right side
    81.81x = 9,991.97
  5. Step 5: Solve for x
    x = 9,991.97/81.81
  6. Step 6: Final answer
    x = 122.14

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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.