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Finding the Fourth Proportional to 136.44, 204.14 and 105.45

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Solution

The fourth proportional to 136.44, 204.14 and 105.45 is: 157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.44 : 204.14 = 105.45 : x
  2. Step 2: Convert to fraction form
    136.44/204.14 = 105.45/x
  3. Step 3: Cross multiply
    136.44x = 204.14 × 105.45
  4. Step 4: Simplify right side
    136.44x = 21,526.04
  5. Step 5: Solve for x
    x = 21,526.04/136.44
  6. Step 6: Final answer
    x = 157.77

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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.