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Finding the Fourth Proportional to 136.56, 204.85 and 49.90

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Solution

The fourth proportional to 136.56, 204.85 and 49.90 is: 74.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.56 : 204.85 = 49.90 : x
  2. Step 2: Convert to fraction form
    136.56/204.85 = 49.90/x
  3. Step 3: Cross multiply
    136.56x = 204.85 × 49.90
  4. Step 4: Simplify right side
    136.56x = 10,222.02
  5. Step 5: Solve for x
    x = 10,222.02/136.56
  6. Step 6: Final answer
    x = 74.85

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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.