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Finding the Fourth Proportional to 133.27, 200.01 and 102.91

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Solution

The fourth proportional to 133.27, 200.01 and 102.91 is: 154.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.27 : 200.01 = 102.91 : x
  2. Step 2: Convert to fraction form
    133.27/200.01 = 102.91/x
  3. Step 3: Cross multiply
    133.27x = 200.01 × 102.91
  4. Step 4: Simplify right side
    133.27x = 20,583.03
  5. Step 5: Solve for x
    x = 20,583.03/133.27
  6. Step 6: Final answer
    x = 154.45

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Why These Related Problems?

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