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Finding the Fourth Proportional to 136.67, 204.60 and 82.40

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Solution

The fourth proportional to 136.67, 204.60 and 82.40 is: 123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.67 : 204.60 = 82.40 : x
  2. Step 2: Convert to fraction form
    136.67/204.60 = 82.40/x
  3. Step 3: Cross multiply
    136.67x = 204.60 × 82.40
  4. Step 4: Simplify right side
    136.67x = 16,858.12
  5. Step 5: Solve for x
    x = 16,858.12/136.67
  6. Step 6: Final answer
    x = 123.35

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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.