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Finding the Fourth Proportional to 136.46, 188.37 and 92.25

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Solution

The fourth proportional to 136.46, 188.37 and 92.25 is: 127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.46 : 188.37 = 92.25 : x
  2. Step 2: Convert to fraction form
    136.46/188.37 = 92.25/x
  3. Step 3: Cross multiply
    136.46x = 188.37 × 92.25
  4. Step 4: Simplify right side
    136.46x = 17,377.13
  5. Step 5: Solve for x
    x = 17,377.13/136.46
  6. Step 6: Final answer
    x = 127.35

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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.