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Finding the Fourth Proportional to 104.35, 156.55 and 31.22

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Solution

The fourth proportional to 104.35, 156.55 and 31.22 is: 46.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.35 : 156.55 = 31.22 : x
  2. Step 2: Convert to fraction form
    104.35/156.55 = 31.22/x
  3. Step 3: Cross multiply
    104.35x = 156.55 × 31.22
  4. Step 4: Simplify right side
    104.35x = 4,887.75
  5. Step 5: Solve for x
    x = 4,887.75/104.35
  6. Step 6: Final answer
    x = 46.84

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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.