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Finding the Fourth Proportional to 136.42, 188.22 and 78.20

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Solution

The fourth proportional to 136.42, 188.22 and 78.20 is: 107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.42 : 188.22 = 78.20 : x
  2. Step 2: Convert to fraction form
    136.42/188.22 = 78.20/x
  3. Step 3: Cross multiply
    136.42x = 188.22 × 78.20
  4. Step 4: Simplify right side
    136.42x = 14,718.80
  5. Step 5: Solve for x
    x = 14,718.80/136.42
  6. Step 6: Final answer
    x = 107.89

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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.