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Finding the Fourth Proportional to 104.82, 156.59 and 75.68

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Solution

The fourth proportional to 104.82, 156.59 and 75.68 is: 113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.82 : 156.59 = 75.68 : x
  2. Step 2: Convert to fraction form
    104.82/156.59 = 75.68/x
  3. Step 3: Cross multiply
    104.82x = 156.59 × 75.68
  4. Step 4: Simplify right side
    104.82x = 11,850.74
  5. Step 5: Solve for x
    x = 11,850.74/104.82
  6. Step 6: Final answer
    x = 113.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.