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Finding the Fourth Proportional to 109.81, 164.80 and 77.37

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Solution

The fourth proportional to 109.81, 164.80 and 77.37 is: 116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.81 : 164.80 = 77.37 : x
  2. Step 2: Convert to fraction form
    109.81/164.80 = 77.37/x
  3. Step 3: Cross multiply
    109.81x = 164.80 × 77.37
  4. Step 4: Simplify right side
    109.81x = 12,750.42
  5. Step 5: Solve for x
    x = 12,750.42/109.81
  6. Step 6: Final answer
    x = 116.12

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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.