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Finding the Fourth Proportional to 81.83, 113.06 and 75.76

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Solution

The fourth proportional to 81.83, 113.06 and 75.76 is: 104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.83 : 113.06 = 75.76 : x
  2. Step 2: Convert to fraction form
    81.83/113.06 = 75.76/x
  3. Step 3: Cross multiply
    81.83x = 113.06 × 75.76
  4. Step 4: Simplify right side
    81.83x = 8,565.33
  5. Step 5: Solve for x
    x = 8,565.33/81.83
  6. Step 6: Final answer
    x = 104.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.