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Finding the Fourth Proportional to 54.05, 74.54 and 32.21

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Solution

The fourth proportional to 54.05, 74.54 and 32.21 is: 44.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.05 : 74.54 = 32.21 : x
  2. Step 2: Convert to fraction form
    54.05/74.54 = 32.21/x
  3. Step 3: Cross multiply
    54.05x = 74.54 × 32.21
  4. Step 4: Simplify right side
    54.05x = 2,400.40
  5. Step 5: Solve for x
    x = 2,400.40/54.05
  6. Step 6: Final answer
    x = 44.41

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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.