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Finding the Fourth Proportional to 31.93, 44.07 and 21.04

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Solution

The fourth proportional to 31.93, 44.07 and 21.04 is: 29.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.93 : 44.07 = 21.04 : x
  2. Step 2: Convert to fraction form
    31.93/44.07 = 21.04/x
  3. Step 3: Cross multiply
    31.93x = 44.07 × 21.04
  4. Step 4: Simplify right side
    31.93x = 927.23
  5. Step 5: Solve for x
    x = 927.23/31.93
  6. Step 6: Final answer
    x = 29.04

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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.