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Finding the Fourth Proportional to 54.17, 74.80 and 43.94

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Solution

The fourth proportional to 54.17, 74.80 and 43.94 is: 60.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.17 : 74.80 = 43.94 : x
  2. Step 2: Convert to fraction form
    54.17/74.80 = 43.94/x
  3. Step 3: Cross multiply
    54.17x = 74.80 × 43.94
  4. Step 4: Simplify right side
    54.17x = 3,286.71
  5. Step 5: Solve for x
    x = 3,286.71/54.17
  6. Step 6: Final answer
    x = 60.67

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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.