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Finding the Fourth Proportional to 136.85, 188.94 and 101.84

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Solution

The fourth proportional to 136.85, 188.94 and 101.84 is: 140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.85 : 188.94 = 101.84 : x
  2. Step 2: Convert to fraction form
    136.85/188.94 = 101.84/x
  3. Step 3: Cross multiply
    136.85x = 188.94 × 101.84
  4. Step 4: Simplify right side
    136.85x = 19,242.38
  5. Step 5: Solve for x
    x = 19,242.38/136.85
  6. Step 6: Final answer
    x = 140.61

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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.