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Finding the Fourth Proportional to 81.86, 122.81 and 75.08

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Solution

The fourth proportional to 81.86, 122.81 and 75.08 is: 112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.86 : 122.81 = 75.08 : x
  2. Step 2: Convert to fraction form
    81.86/122.81 = 75.08/x
  3. Step 3: Cross multiply
    81.86x = 122.81 × 75.08
  4. Step 4: Simplify right side
    81.86x = 9,219.59
  5. Step 5: Solve for x
    x = 9,219.59/81.86
  6. Step 6: Final answer
    x = 112.63

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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.