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Finding the Fourth Proportional to 133.43, 200.16 and 90.23

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Solution

The fourth proportional to 133.43, 200.16 and 90.23 is: 135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.43 : 200.16 = 90.23 : x
  2. Step 2: Convert to fraction form
    133.43/200.16 = 90.23/x
  3. Step 3: Cross multiply
    133.43x = 200.16 × 90.23
  4. Step 4: Simplify right side
    133.43x = 18,059.44
  5. Step 5: Solve for x
    x = 18,059.44/133.43
  6. Step 6: Final answer
    x = 135.35

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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.