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Finding the Fourth Proportional to 136.58, 204.83 and 49.89

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Solution

The fourth proportional to 136.58, 204.83 and 49.89 is: 74.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.58 : 204.83 = 49.89 : x
  2. Step 2: Convert to fraction form
    136.58/204.83 = 49.89/x
  3. Step 3: Cross multiply
    136.58x = 204.83 × 49.89
  4. Step 4: Simplify right side
    136.58x = 10,219.23
  5. Step 5: Solve for x
    x = 10,219.23/136.58
  6. Step 6: Final answer
    x = 74.83

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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.