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Finding the Fourth Proportional to 136.57, 188.43 and 78.34

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Solution

The fourth proportional to 136.57, 188.43 and 78.34 is: 108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.57 : 188.43 = 78.34 : x
  2. Step 2: Convert to fraction form
    136.57/188.43 = 78.34/x
  3. Step 3: Cross multiply
    136.57x = 188.43 × 78.34
  4. Step 4: Simplify right side
    136.57x = 14,761.61
  5. Step 5: Solve for x
    x = 14,761.61/136.57
  6. Step 6: Final answer
    x = 108.09

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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.