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Finding the Fourth Proportional to 136.54, 188.13 and 97.66

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Solution

The fourth proportional to 136.54, 188.13 and 97.66 is: 134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.54 : 188.13 = 97.66 : x
  2. Step 2: Convert to fraction form
    136.54/188.13 = 97.66/x
  3. Step 3: Cross multiply
    136.54x = 188.13 × 97.66
  4. Step 4: Simplify right side
    136.54x = 18,372.78
  5. Step 5: Solve for x
    x = 18,372.78/136.54
  6. Step 6: Final answer
    x = 134.56

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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.