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Finding the Fourth Proportional to 105.92, 146.04 and 95.12

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Solution

The fourth proportional to 105.92, 146.04 and 95.12 is: 131.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.92 : 146.04 = 95.12 : x
  2. Step 2: Convert to fraction form
    105.92/146.04 = 95.12/x
  3. Step 3: Cross multiply
    105.92x = 146.04 × 95.12
  4. Step 4: Simplify right side
    105.92x = 13,891.32
  5. Step 5: Solve for x
    x = 13,891.32/105.92
  6. Step 6: Final answer
    x = 131.15

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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.