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Finding the Fourth Proportional to 133.93, 200.64 and 112.21

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Solution

The fourth proportional to 133.93, 200.64 and 112.21 is: 168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.93 : 200.64 = 112.21 : x
  2. Step 2: Convert to fraction form
    133.93/200.64 = 112.21/x
  3. Step 3: Cross multiply
    133.93x = 200.64 × 112.21
  4. Step 4: Simplify right side
    133.93x = 22,513.81
  5. Step 5: Solve for x
    x = 22,513.81/133.93
  6. Step 6: Final answer
    x = 168.10

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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.