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Finding the Fourth Proportional to 136.56, 204.84 and 109.86

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Solution

The fourth proportional to 136.56, 204.84 and 109.86 is: 164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.56 : 204.84 = 109.86 : x
  2. Step 2: Convert to fraction form
    136.56/204.84 = 109.86/x
  3. Step 3: Cross multiply
    136.56x = 204.84 × 109.86
  4. Step 4: Simplify right side
    136.56x = 22,503.72
  5. Step 5: Solve for x
    x = 22,503.72/136.56
  6. Step 6: Final answer
    x = 164.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.