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Finding the Fourth Proportional to 67.00, 100.46 and 21.33

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Solution

The fourth proportional to 67.00, 100.46 and 21.33 is: 31.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.00 : 100.46 = 21.33 : x
  2. Step 2: Convert to fraction form
    67.00/100.46 = 21.33/x
  3. Step 3: Cross multiply
    67.00x = 100.46 × 21.33
  4. Step 4: Simplify right side
    67.00x = 2,142.71
  5. Step 5: Solve for x
    x = 2,142.71/67.00
  6. Step 6: Final answer
    x = 31.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.