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Finding the Fourth Proportional to 104.34, 156.22 and 71.77

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Solution

The fourth proportional to 104.34, 156.22 and 71.77 is: 107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.34 : 156.22 = 71.77 : x
  2. Step 2: Convert to fraction form
    104.34/156.22 = 71.77/x
  3. Step 3: Cross multiply
    104.34x = 156.22 × 71.77
  4. Step 4: Simplify right side
    104.34x = 11,211.91
  5. Step 5: Solve for x
    x = 11,211.91/104.34
  6. Step 6: Final answer
    x = 107.46

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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.