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Finding the Fourth Proportional to 104.17, 143.73 and 76.56

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Solution

The fourth proportional to 104.17, 143.73 and 76.56 is: 105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.17 : 143.73 = 76.56 : x
  2. Step 2: Convert to fraction form
    104.17/143.73 = 76.56/x
  3. Step 3: Cross multiply
    104.17x = 143.73 × 76.56
  4. Step 4: Simplify right side
    104.17x = 11,003.97
  5. Step 5: Solve for x
    x = 11,003.97/104.17
  6. Step 6: Final answer
    x = 105.64

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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.