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Finding the Fourth Proportional to 136.30, 188.08 and 78.07

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Solution

The fourth proportional to 136.30, 188.08 and 78.07 is: 107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.30 : 188.08 = 78.07 : x
  2. Step 2: Convert to fraction form
    136.30/188.08 = 78.07/x
  3. Step 3: Cross multiply
    136.30x = 188.08 × 78.07
  4. Step 4: Simplify right side
    136.30x = 14,683.41
  5. Step 5: Solve for x
    x = 14,683.41/136.30
  6. Step 6: Final answer
    x = 107.73

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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.