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Finding the Fourth Proportional to 136.41, 188.19 and 78.16

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Solution

The fourth proportional to 136.41, 188.19 and 78.16 is: 107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.41 : 188.19 = 78.16 : x
  2. Step 2: Convert to fraction form
    136.41/188.19 = 78.16/x
  3. Step 3: Cross multiply
    136.41x = 188.19 × 78.16
  4. Step 4: Simplify right side
    136.41x = 14,708.18
  5. Step 5: Solve for x
    x = 14,708.18/136.41
  6. Step 6: Final answer
    x = 107.83

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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.