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Finding the Fourth Proportional to 39.74, 54.75 and 32.00

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Solution

The fourth proportional to 39.74, 54.75 and 32.00 is: 44.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.74 : 54.75 = 32.00 : x
  2. Step 2: Convert to fraction form
    39.74/54.75 = 32.00/x
  3. Step 3: Cross multiply
    39.74x = 54.75 × 32.00
  4. Step 4: Simplify right side
    39.74x = 1,751.73
  5. Step 5: Solve for x
    x = 1,751.73/39.74
  6. Step 6: Final answer
    x = 44.09

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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.