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Finding the Fourth Proportional to 109.38, 164.20 and 77.52

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Solution

The fourth proportional to 109.38, 164.20 and 77.52 is: 116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.38 : 164.20 = 77.52 : x
  2. Step 2: Convert to fraction form
    109.38/164.20 = 77.52/x
  3. Step 3: Cross multiply
    109.38x = 164.20 × 77.52
  4. Step 4: Simplify right side
    109.38x = 12,728.78
  5. Step 5: Solve for x
    x = 12,728.78/109.38
  6. Step 6: Final answer
    x = 116.37

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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.