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Finding the Fourth Proportional to 109.45, 164.08 and 63.19

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Solution

The fourth proportional to 109.45, 164.08 and 63.19 is: 94.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.45 : 164.08 = 63.19 : x
  2. Step 2: Convert to fraction form
    109.45/164.08 = 63.19/x
  3. Step 3: Cross multiply
    109.45x = 164.08 × 63.19
  4. Step 4: Simplify right side
    109.45x = 10,368.22
  5. Step 5: Solve for x
    x = 10,368.22/109.45
  6. Step 6: Final answer
    x = 94.73

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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.