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Finding the Fourth Proportional to 39.38, 54.41 and 32.00

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Solution

The fourth proportional to 39.38, 54.41 and 32.00 is: 44.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.38 : 54.41 = 32.00 : x
  2. Step 2: Convert to fraction form
    39.38/54.41 = 32.00/x
  3. Step 3: Cross multiply
    39.38x = 54.41 × 32.00
  4. Step 4: Simplify right side
    39.38x = 1,740.69
  5. Step 5: Solve for x
    x = 1,740.69/39.38
  6. Step 6: Final answer
    x = 44.21

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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.