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Finding the Fourth Proportional to 136.29, 188.09 and 77.28

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Solution

The fourth proportional to 136.29, 188.09 and 77.28 is: 106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.29 : 188.09 = 77.28 : x
  2. Step 2: Convert to fraction form
    136.29/188.09 = 77.28/x
  3. Step 3: Cross multiply
    136.29x = 188.09 × 77.28
  4. Step 4: Simplify right side
    136.29x = 14,535.21
  5. Step 5: Solve for x
    x = 14,535.21/136.29
  6. Step 6: Final answer
    x = 106.65

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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.