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Finding the Fourth Proportional to 136.64, 203.92 and 115.04

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Solution

The fourth proportional to 136.64, 203.92 and 115.04 is: 171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.64 : 203.92 = 115.04 : x
  2. Step 2: Convert to fraction form
    136.64/203.92 = 115.04/x
  3. Step 3: Cross multiply
    136.64x = 203.92 × 115.04
  4. Step 4: Simplify right side
    136.64x = 23,458.96
  5. Step 5: Solve for x
    x = 23,458.96/136.64
  6. Step 6: Final answer
    x = 171.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.