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Finding the Fourth Proportional to 75.46, 104.19 and 54.80

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Solution

The fourth proportional to 75.46, 104.19 and 54.80 is: 75.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.46 : 104.19 = 54.80 : x
  2. Step 2: Convert to fraction form
    75.46/104.19 = 54.80/x
  3. Step 3: Cross multiply
    75.46x = 104.19 × 54.80
  4. Step 4: Simplify right side
    75.46x = 5,709.61
  5. Step 5: Solve for x
    x = 5,709.61/75.46
  6. Step 6: Final answer
    x = 75.67

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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.