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Finding the Fourth Proportional to 136.57, 188.58 and 109.09

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Solution

The fourth proportional to 136.57, 188.58 and 109.09 is: 150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.57 : 188.58 = 109.09 : x
  2. Step 2: Convert to fraction form
    136.57/188.58 = 109.09/x
  3. Step 3: Cross multiply
    136.57x = 188.58 × 109.09
  4. Step 4: Simplify right side
    136.57x = 20,572.19
  5. Step 5: Solve for x
    x = 20,572.19/136.57
  6. Step 6: Final answer
    x = 150.63

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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.