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Finding the Fourth Proportional to 136.85, 204.10 and 124.70

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Solution

The fourth proportional to 136.85, 204.10 and 124.70 is: 185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.85 : 204.10 = 124.70 : x
  2. Step 2: Convert to fraction form
    136.85/204.10 = 124.70/x
  3. Step 3: Cross multiply
    136.85x = 204.10 × 124.70
  4. Step 4: Simplify right side
    136.85x = 25,449.94
  5. Step 5: Solve for x
    x = 25,449.94/136.85
  6. Step 6: Final answer
    x = 185.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.