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Finding the Fourth Proportional to 105.97, 146.30 and 73.27

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Solution

The fourth proportional to 105.97, 146.30 and 73.27 is: 101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.97 : 146.30 = 73.27 : x
  2. Step 2: Convert to fraction form
    105.97/146.30 = 73.27/x
  3. Step 3: Cross multiply
    105.97x = 146.30 × 73.27
  4. Step 4: Simplify right side
    105.97x = 10,719.40
  5. Step 5: Solve for x
    x = 10,719.40/105.97
  6. Step 6: Final answer
    x = 101.16

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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.