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Finding the Fourth Proportional to 109.59, 164.66 and 86.91

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Solution

The fourth proportional to 109.59, 164.66 and 86.91 is: 130.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.59 : 164.66 = 86.91 : x
  2. Step 2: Convert to fraction form
    109.59/164.66 = 86.91/x
  3. Step 3: Cross multiply
    109.59x = 164.66 × 86.91
  4. Step 4: Simplify right side
    109.59x = 14,310.17
  5. Step 5: Solve for x
    x = 14,310.17/109.59
  6. Step 6: Final answer
    x = 130.58

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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.