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Finding the Fourth Proportional to 109.66, 164.49 and 106.32

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Solution

The fourth proportional to 109.66, 164.49 and 106.32 is: 159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.66 : 164.49 = 106.32 : x
  2. Step 2: Convert to fraction form
    109.66/164.49 = 106.32/x
  3. Step 3: Cross multiply
    109.66x = 164.49 × 106.32
  4. Step 4: Simplify right side
    109.66x = 17,487.41
  5. Step 5: Solve for x
    x = 17,487.41/109.66
  6. Step 6: Final answer
    x = 159.47

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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.