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Finding the Fourth Proportional to 104.22, 156.27 and 46.37

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Solution

The fourth proportional to 104.22, 156.27 and 46.37 is: 69.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.22 : 156.27 = 46.37 : x
  2. Step 2: Convert to fraction form
    104.22/156.27 = 46.37/x
  3. Step 3: Cross multiply
    104.22x = 156.27 × 46.37
  4. Step 4: Simplify right side
    104.22x = 7,246.01
  5. Step 5: Solve for x
    x = 7,246.01/104.22
  6. Step 6: Final answer
    x = 69.53

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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.