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Finding the Fourth Proportional to 105.77, 146.00 and 81.18

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Solution

The fourth proportional to 105.77, 146.00 and 81.18 is: 112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.77 : 146.00 = 81.18 : x
  2. Step 2: Convert to fraction form
    105.77/146.00 = 81.18/x
  3. Step 3: Cross multiply
    105.77x = 146.00 × 81.18
  4. Step 4: Simplify right side
    105.77x = 11,852.48
  5. Step 5: Solve for x
    x = 11,852.48/105.77
  6. Step 6: Final answer
    x = 112.06

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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.