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Finding the Fourth Proportional to 105.96, 146.17 and 91.38

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Solution

The fourth proportional to 105.96, 146.17 and 91.38 is: 126.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.96 : 146.17 = 91.38 : x
  2. Step 2: Convert to fraction form
    105.96/146.17 = 91.38/x
  3. Step 3: Cross multiply
    105.96x = 146.17 × 91.38
  4. Step 4: Simplify right side
    105.96x = 13,357.01
  5. Step 5: Solve for x
    x = 13,357.01/105.96
  6. Step 6: Final answer
    x = 126.06

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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.