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Finding the Fourth Proportional to 136.74, 188.80 and 114.86

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Solution

The fourth proportional to 136.74, 188.80 and 114.86 is: 158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.74 : 188.80 = 114.86 : x
  2. Step 2: Convert to fraction form
    136.74/188.80 = 114.86/x
  3. Step 3: Cross multiply
    136.74x = 188.80 × 114.86
  4. Step 4: Simplify right side
    136.74x = 21,685.57
  5. Step 5: Solve for x
    x = 21,685.57/136.74
  6. Step 6: Final answer
    x = 158.59

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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.