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Finding the Fourth Proportional to 136.44, 188.22 and 99.54

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Solution

The fourth proportional to 136.44, 188.22 and 99.54 is: 137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.44 : 188.22 = 99.54 : x
  2. Step 2: Convert to fraction form
    136.44/188.22 = 99.54/x
  3. Step 3: Cross multiply
    136.44x = 188.22 × 99.54
  4. Step 4: Simplify right side
    136.44x = 18,735.42
  5. Step 5: Solve for x
    x = 18,735.42/136.44
  6. Step 6: Final answer
    x = 137.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.