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Finding the Fourth Proportional to 104.09, 156.23 and 65.46

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Solution

The fourth proportional to 104.09, 156.23 and 65.46 is: 98.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.09 : 156.23 = 65.46 : x
  2. Step 2: Convert to fraction form
    104.09/156.23 = 65.46/x
  3. Step 3: Cross multiply
    104.09x = 156.23 × 65.46
  4. Step 4: Simplify right side
    104.09x = 10,226.44
  5. Step 5: Solve for x
    x = 10,226.44/104.09
  6. Step 6: Final answer
    x = 98.25

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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.