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Finding the Fourth Proportional to 136.23, 187.97 and 77.20

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Solution

The fourth proportional to 136.23, 187.97 and 77.20 is: 106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.23 : 187.97 = 77.20 : x
  2. Step 2: Convert to fraction form
    136.23/187.97 = 77.20/x
  3. Step 3: Cross multiply
    136.23x = 187.97 × 77.20
  4. Step 4: Simplify right side
    136.23x = 14,511.92
  5. Step 5: Solve for x
    x = 14,511.92/136.23
  6. Step 6: Final answer
    x = 106.52

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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.