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Finding the Fourth Proportional to 104.56, 156.85 and 32.41

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Solution

The fourth proportional to 104.56, 156.85 and 32.41 is: 48.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.56 : 156.85 = 32.41 : x
  2. Step 2: Convert to fraction form
    104.56/156.85 = 32.41/x
  3. Step 3: Cross multiply
    104.56x = 156.85 × 32.41
  4. Step 4: Simplify right side
    104.56x = 5,083.62
  5. Step 5: Solve for x
    x = 5,083.62/104.56
  6. Step 6: Final answer
    x = 48.62

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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.