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Finding the Fourth Proportional to 104.40, 143.94 and 76.68

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Solution

The fourth proportional to 104.40, 143.94 and 76.68 is: 105.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.40 : 143.94 = 76.68 : x
  2. Step 2: Convert to fraction form
    104.40/143.94 = 76.68/x
  3. Step 3: Cross multiply
    104.40x = 143.94 × 76.68
  4. Step 4: Simplify right side
    104.40x = 11,037.32
  5. Step 5: Solve for x
    x = 11,037.32/104.40
  6. Step 6: Final answer
    x = 105.72

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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.