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Finding the Fourth Proportional to 67.11, 100.64 and 21.45

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Solution

The fourth proportional to 67.11, 100.64 and 21.45 is: 32.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.11 : 100.64 = 21.45 : x
  2. Step 2: Convert to fraction form
    67.11/100.64 = 21.45/x
  3. Step 3: Cross multiply
    67.11x = 100.64 × 21.45
  4. Step 4: Simplify right side
    67.11x = 2,158.59
  5. Step 5: Solve for x
    x = 2,158.59/67.11
  6. Step 6: Final answer
    x = 32.16

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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.