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Finding the Fourth Proportional to 104.22, 156.30 and 102.92

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Solution

The fourth proportional to 104.22, 156.30 and 102.92 is: 154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.22 : 156.30 = 102.92 : x
  2. Step 2: Convert to fraction form
    104.22/156.30 = 102.92/x
  3. Step 3: Cross multiply
    104.22x = 156.30 × 102.92
  4. Step 4: Simplify right side
    104.22x = 16,085.61
  5. Step 5: Solve for x
    x = 16,085.61/104.22
  6. Step 6: Final answer
    x = 154.34

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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.