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Finding the Fourth Proportional to 104.00, 143.42 and 68.54

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Solution

The fourth proportional to 104.00, 143.42 and 68.54 is: 94.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.00 : 143.42 = 68.54 : x
  2. Step 2: Convert to fraction form
    104.00/143.42 = 68.54/x
  3. Step 3: Cross multiply
    104.00x = 143.42 × 68.54
  4. Step 4: Simplify right side
    104.00x = 9,828.95
  5. Step 5: Solve for x
    x = 9,828.95/104.00
  6. Step 6: Final answer
    x = 94.51

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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.