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Finding the Fourth Proportional to 136.26, 204.19 and 55.06

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Solution

The fourth proportional to 136.26, 204.19 and 55.06 is: 82.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.26 : 204.19 = 55.06 : x
  2. Step 2: Convert to fraction form
    136.26/204.19 = 55.06/x
  3. Step 3: Cross multiply
    136.26x = 204.19 × 55.06
  4. Step 4: Simplify right side
    136.26x = 11,242.70
  5. Step 5: Solve for x
    x = 11,242.70/136.26
  6. Step 6: Final answer
    x = 82.51

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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.