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Finding the Fourth Proportional to 104.14, 156.82 and 90.77

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Solution

The fourth proportional to 104.14, 156.82 and 90.77 is: 136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.14 : 156.82 = 90.77 : x
  2. Step 2: Convert to fraction form
    104.14/156.82 = 90.77/x
  3. Step 3: Cross multiply
    104.14x = 156.82 × 90.77
  4. Step 4: Simplify right side
    104.14x = 14,234.55
  5. Step 5: Solve for x
    x = 14,234.55/104.14
  6. Step 6: Final answer
    x = 136.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.