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Finding the Fourth Proportional to 126.97, 189.61 and 111.58

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Solution

The fourth proportional to 126.97, 189.61 and 111.58 is: 166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.97 : 189.61 = 111.58 : x
  2. Step 2: Convert to fraction form
    126.97/189.61 = 111.58/x
  3. Step 3: Cross multiply
    126.97x = 189.61 × 111.58
  4. Step 4: Simplify right side
    126.97x = 21,155.93
  5. Step 5: Solve for x
    x = 21,155.93/126.97
  6. Step 6: Final answer
    x = 166.62

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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.