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Finding the Fourth Proportional to 109.49, 164.43 and 102.20

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Solution

The fourth proportional to 109.49, 164.43 and 102.20 is: 153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.49 : 164.43 = 102.20 : x
  2. Step 2: Convert to fraction form
    109.49/164.43 = 102.20/x
  3. Step 3: Cross multiply
    109.49x = 164.43 × 102.20
  4. Step 4: Simplify right side
    109.49x = 16,803.92
  5. Step 5: Solve for x
    x = 16,803.92/109.49
  6. Step 6: Final answer
    x = 153.48

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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.