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Finding the Fourth Proportional to 109.96, 164.84 and 49.04

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Solution

The fourth proportional to 109.96, 164.84 and 49.04 is: 73.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.96 : 164.84 = 49.04 : x
  2. Step 2: Convert to fraction form
    109.96/164.84 = 49.04/x
  3. Step 3: Cross multiply
    109.96x = 164.84 × 49.04
  4. Step 4: Simplify right side
    109.96x = 8,083.30
  5. Step 5: Solve for x
    x = 8,083.30/109.96
  6. Step 6: Final answer
    x = 73.51

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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.