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Finding the Fourth Proportional to 109.97, 164.84 and 49.13

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Solution

The fourth proportional to 109.97, 164.84 and 49.13 is: 73.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.97 : 164.84 = 49.13 : x
  2. Step 2: Convert to fraction form
    109.97/164.84 = 49.13/x
  3. Step 3: Cross multiply
    109.97x = 164.84 × 49.13
  4. Step 4: Simplify right side
    109.97x = 8,097.52
  5. Step 5: Solve for x
    x = 8,097.52/109.97
  6. Step 6: Final answer
    x = 73.64

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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.