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Finding the Fourth Proportional to 54.67, 76.05 and 53.68

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Solution

The fourth proportional to 54.67, 76.05 and 53.68 is: 74.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.67 : 76.05 = 53.68 : x
  2. Step 2: Convert to fraction form
    54.67/76.05 = 53.68/x
  3. Step 3: Cross multiply
    54.67x = 76.05 × 53.68
  4. Step 4: Simplify right side
    54.67x = 4,082.36
  5. Step 5: Solve for x
    x = 4,082.36/54.67
  6. Step 6: Final answer
    x = 74.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.