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Finding the Fourth Proportional to 32.01, 44.20 and 19.74

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Solution

The fourth proportional to 32.01, 44.20 and 19.74 is: 27.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.01 : 44.20 = 19.74 : x
  2. Step 2: Convert to fraction form
    32.01/44.20 = 19.74/x
  3. Step 3: Cross multiply
    32.01x = 44.20 × 19.74
  4. Step 4: Simplify right side
    32.01x = 872.59
  5. Step 5: Solve for x
    x = 872.59/32.01
  6. Step 6: Final answer
    x = 27.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.