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Finding the Fourth Proportional to 109.56, 164.22 and 86.76

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Solution

The fourth proportional to 109.56, 164.22 and 86.76 is: 130.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.56 : 164.22 = 86.76 : x
  2. Step 2: Convert to fraction form
    109.56/164.22 = 86.76/x
  3. Step 3: Cross multiply
    109.56x = 164.22 × 86.76
  4. Step 4: Simplify right side
    109.56x = 14,247.73
  5. Step 5: Solve for x
    x = 14,247.73/109.56
  6. Step 6: Final answer
    x = 130.04

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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.