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Finding the Fourth Proportional to 56.74, 84.97 and 54.67

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Solution

The fourth proportional to 56.74, 84.97 and 54.67 is: 81.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.74 : 84.97 = 54.67 : x
  2. Step 2: Convert to fraction form
    56.74/84.97 = 54.67/x
  3. Step 3: Cross multiply
    56.74x = 84.97 × 54.67
  4. Step 4: Simplify right side
    56.74x = 4,645.31
  5. Step 5: Solve for x
    x = 4,645.31/56.74
  6. Step 6: Final answer
    x = 81.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.