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Finding the Fourth Proportional to 104.22, 156.06 and 85.05

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Solution

The fourth proportional to 104.22, 156.06 and 85.05 is: 127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.22 : 156.06 = 85.05 : x
  2. Step 2: Convert to fraction form
    104.22/156.06 = 85.05/x
  3. Step 3: Cross multiply
    104.22x = 156.06 × 85.05
  4. Step 4: Simplify right side
    104.22x = 13,272.90
  5. Step 5: Solve for x
    x = 13,272.90/104.22
  6. Step 6: Final answer
    x = 127.35

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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.