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Finding the Fourth Proportional to 136.97, 188.56 and 123.15

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Solution

The fourth proportional to 136.97, 188.56 and 123.15 is: 169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.97 : 188.56 = 123.15 : x
  2. Step 2: Convert to fraction form
    136.97/188.56 = 123.15/x
  3. Step 3: Cross multiply
    136.97x = 188.56 × 123.15
  4. Step 4: Simplify right side
    136.97x = 23,222.03
  5. Step 5: Solve for x
    x = 23,222.03/136.97
  6. Step 6: Final answer
    x = 169.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.