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Finding the Fourth Proportional to 136.87, 204.94 and 111.01

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Solution

The fourth proportional to 136.87, 204.94 and 111.01 is: 166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.87 : 204.94 = 111.01 : x
  2. Step 2: Convert to fraction form
    136.87/204.94 = 111.01/x
  3. Step 3: Cross multiply
    136.87x = 204.94 × 111.01
  4. Step 4: Simplify right side
    136.87x = 22,750.39
  5. Step 5: Solve for x
    x = 22,750.39/136.87
  6. Step 6: Final answer
    x = 166.22

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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.