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Finding the Fourth Proportional to 75.94, 104.84 and 54.21

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Solution

The fourth proportional to 75.94, 104.84 and 54.21 is: 74.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.94 : 104.84 = 54.21 : x
  2. Step 2: Convert to fraction form
    75.94/104.84 = 54.21/x
  3. Step 3: Cross multiply
    75.94x = 104.84 × 54.21
  4. Step 4: Simplify right side
    75.94x = 5,683.38
  5. Step 5: Solve for x
    x = 5,683.38/75.94
  6. Step 6: Final answer
    x = 74.84

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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.