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Finding the Fourth Proportional to 109.65, 164.47 and 44.64

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Solution

The fourth proportional to 109.65, 164.47 and 44.64 is: 66.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.65 : 164.47 = 44.64 : x
  2. Step 2: Convert to fraction form
    109.65/164.47 = 44.64/x
  3. Step 3: Cross multiply
    109.65x = 164.47 × 44.64
  4. Step 4: Simplify right side
    109.65x = 7,342.45
  5. Step 5: Solve for x
    x = 7,342.45/109.65
  6. Step 6: Final answer
    x = 66.96

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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.