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Finding the Fourth Proportional to 104.82, 156.93 and 96.75

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Solution

The fourth proportional to 104.82, 156.93 and 96.75 is: 144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.82 : 156.93 = 96.75 : x
  2. Step 2: Convert to fraction form
    104.82/156.93 = 96.75/x
  3. Step 3: Cross multiply
    104.82x = 156.93 × 96.75
  4. Step 4: Simplify right side
    104.82x = 15,182.98
  5. Step 5: Solve for x
    x = 15,182.98/104.82
  6. Step 6: Final answer
    x = 144.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.