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Finding the Fourth Proportional to 136.24, 188.14 and 114.14

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Solution

The fourth proportional to 136.24, 188.14 and 114.14 is: 157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.24 : 188.14 = 114.14 : x
  2. Step 2: Convert to fraction form
    136.24/188.14 = 114.14/x
  3. Step 3: Cross multiply
    136.24x = 188.14 × 114.14
  4. Step 4: Simplify right side
    136.24x = 21,474.30
  5. Step 5: Solve for x
    x = 21,474.30/136.24
  6. Step 6: Final answer
    x = 157.62

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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.