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Finding the Fourth Proportional to 136.40, 188.24 and 77.39

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Solution

The fourth proportional to 136.40, 188.24 and 77.39 is: 106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.40 : 188.24 = 77.39 : x
  2. Step 2: Convert to fraction form
    136.40/188.24 = 77.39/x
  3. Step 3: Cross multiply
    136.40x = 188.24 × 77.39
  4. Step 4: Simplify right side
    136.40x = 14,567.54
  5. Step 5: Solve for x
    x = 14,567.54/136.40
  6. Step 6: Final answer
    x = 106.80

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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.