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Finding the Fourth Proportional to 104.34, 156.82 and 77.41

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Solution

The fourth proportional to 104.34, 156.82 and 77.41 is: 116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.34 : 156.82 = 77.41 : x
  2. Step 2: Convert to fraction form
    104.34/156.82 = 77.41/x
  3. Step 3: Cross multiply
    104.34x = 156.82 × 77.41
  4. Step 4: Simplify right side
    104.34x = 12,139.44
  5. Step 5: Solve for x
    x = 12,139.44/104.34
  6. Step 6: Final answer
    x = 116.34

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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.