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Finding the Fourth Proportional to 136.44, 188.20 and 105.30

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Solution

The fourth proportional to 136.44, 188.20 and 105.30 is: 145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.44 : 188.20 = 105.30 : x
  2. Step 2: Convert to fraction form
    136.44/188.20 = 105.30/x
  3. Step 3: Cross multiply
    136.44x = 188.20 × 105.30
  4. Step 4: Simplify right side
    136.44x = 19,817.46
  5. Step 5: Solve for x
    x = 19,817.46/136.44
  6. Step 6: Final answer
    x = 145.25

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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.