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Finding the Fourth Proportional to 76.96, 106.23 and 54.82

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Solution

The fourth proportional to 76.96, 106.23 and 54.82 is: 75.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.96 : 106.23 = 54.82 : x
  2. Step 2: Convert to fraction form
    76.96/106.23 = 54.82/x
  3. Step 3: Cross multiply
    76.96x = 106.23 × 54.82
  4. Step 4: Simplify right side
    76.96x = 5,823.53
  5. Step 5: Solve for x
    x = 5,823.53/76.96
  6. Step 6: Final answer
    x = 75.67

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