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Finding the Fourth Proportional to 109.85, 164.81 and 64.23

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Solution

The fourth proportional to 109.85, 164.81 and 64.23 is: 96.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.85 : 164.81 = 64.23 : x
  2. Step 2: Convert to fraction form
    109.85/164.81 = 64.23/x
  3. Step 3: Cross multiply
    109.85x = 164.81 × 64.23
  4. Step 4: Simplify right side
    109.85x = 10,586.00
  5. Step 5: Solve for x
    x = 10,586.00/109.85
  6. Step 6: Final answer
    x = 96.37

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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.