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Finding the Fourth Proportional to 23.93, 32.94 and 20.46

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Solution

The fourth proportional to 23.93, 32.94 and 20.46 is: 28.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.93 : 32.94 = 20.46 : x
  2. Step 2: Convert to fraction form
    23.93/32.94 = 20.46/x
  3. Step 3: Cross multiply
    23.93x = 32.94 × 20.46
  4. Step 4: Simplify right side
    23.93x = 673.95
  5. Step 5: Solve for x
    x = 673.95/23.93
  6. Step 6: Final answer
    x = 28.17

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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.