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Finding the Fourth Proportional to 136.65, 188.76 and 109.21

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Solution

The fourth proportional to 136.65, 188.76 and 109.21 is: 150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.65 : 188.76 = 109.21 : x
  2. Step 2: Convert to fraction form
    136.65/188.76 = 109.21/x
  3. Step 3: Cross multiply
    136.65x = 188.76 × 109.21
  4. Step 4: Simplify right side
    136.65x = 20,613.46
  5. Step 5: Solve for x
    x = 20,613.46/136.65
  6. Step 6: Final answer
    x = 150.85

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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.