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Finding the Fourth Proportional to 136.64, 203.93 and 122.94

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Solution

The fourth proportional to 136.64, 203.93 and 122.94 is: 183.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.64 : 203.93 = 122.94 : x
  2. Step 2: Convert to fraction form
    136.64/203.93 = 122.94/x
  3. Step 3: Cross multiply
    136.64x = 203.93 × 122.94
  4. Step 4: Simplify right side
    136.64x = 25,070.54
  5. Step 5: Solve for x
    x = 25,070.54/136.64
  6. Step 6: Final answer
    x = 183.49

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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.