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Finding the Fourth Proportional to 133.44, 200.01 and 102.54

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Solution

The fourth proportional to 133.44, 200.01 and 102.54 is: 153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.44 : 200.01 = 102.54 : x
  2. Step 2: Convert to fraction form
    133.44/200.01 = 102.54/x
  3. Step 3: Cross multiply
    133.44x = 200.01 × 102.54
  4. Step 4: Simplify right side
    133.44x = 20,509.03
  5. Step 5: Solve for x
    x = 20,509.03/133.44
  6. Step 6: Final answer
    x = 153.69

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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.