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Finding the Fourth Proportional to 136.06, 202.66 and 123.82

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Solution

The fourth proportional to 136.06, 202.66 and 123.82 is: 184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.06 : 202.66 = 123.82 : x
  2. Step 2: Convert to fraction form
    136.06/202.66 = 123.82/x
  3. Step 3: Cross multiply
    136.06x = 202.66 × 123.82
  4. Step 4: Simplify right side
    136.06x = 25,093.36
  5. Step 5: Solve for x
    x = 25,093.36/136.06
  6. Step 6: Final answer
    x = 184.43

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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.