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Finding the Fourth Proportional to 109.32, 164.22 and 89.32

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Solution

The fourth proportional to 109.32, 164.22 and 89.32 is: 134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.32 : 164.22 = 89.32 : x
  2. Step 2: Convert to fraction form
    109.32/164.22 = 89.32/x
  3. Step 3: Cross multiply
    109.32x = 164.22 × 89.32
  4. Step 4: Simplify right side
    109.32x = 14,668.13
  5. Step 5: Solve for x
    x = 14,668.13/109.32
  6. Step 6: Final answer
    x = 134.18

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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.