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Finding the Fourth Proportional to 136.64, 204.96 and 133.04

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Solution

The fourth proportional to 136.64, 204.96 and 133.04 is: 199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.64 : 204.96 = 133.04 : x
  2. Step 2: Convert to fraction form
    136.64/204.96 = 133.04/x
  3. Step 3: Cross multiply
    136.64x = 204.96 × 133.04
  4. Step 4: Simplify right side
    136.64x = 27,267.88
  5. Step 5: Solve for x
    x = 27,267.88/136.64
  6. Step 6: Final answer
    x = 199.56

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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.