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Finding the Fourth Proportional to 104.63, 156.84 and 75.67

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Solution

The fourth proportional to 104.63, 156.84 and 75.67 is: 113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.63 : 156.84 = 75.67 : x
  2. Step 2: Convert to fraction form
    104.63/156.84 = 75.67/x
  3. Step 3: Cross multiply
    104.63x = 156.84 × 75.67
  4. Step 4: Simplify right side
    104.63x = 11,867.41
  5. Step 5: Solve for x
    x = 11,867.41/104.63
  6. Step 6: Final answer
    x = 113.43

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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.