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Finding the Fourth Proportional to 126.93, 189.69 and 114.78

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Solution

The fourth proportional to 126.93, 189.69 and 114.78 is: 171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.93 : 189.69 = 114.78 : x
  2. Step 2: Convert to fraction form
    126.93/189.69 = 114.78/x
  3. Step 3: Cross multiply
    126.93x = 189.69 × 114.78
  4. Step 4: Simplify right side
    126.93x = 21,772.62
  5. Step 5: Solve for x
    x = 21,772.62/126.93
  6. Step 6: Final answer
    x = 171.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.