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Finding the Fourth Proportional to 136.28, 188.05 and 103.47

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Solution

The fourth proportional to 136.28, 188.05 and 103.47 is: 142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.28 : 188.05 = 103.47 : x
  2. Step 2: Convert to fraction form
    136.28/188.05 = 103.47/x
  3. Step 3: Cross multiply
    136.28x = 188.05 × 103.47
  4. Step 4: Simplify right side
    136.28x = 19,457.53
  5. Step 5: Solve for x
    x = 19,457.53/136.28
  6. Step 6: Final answer
    x = 142.78

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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.