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Finding the Fourth Proportional to 130.81, 195.28 and 110.30

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Solution

The fourth proportional to 130.81, 195.28 and 110.30 is: 164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.81 : 195.28 = 110.30 : x
  2. Step 2: Convert to fraction form
    130.81/195.28 = 110.30/x
  3. Step 3: Cross multiply
    130.81x = 195.28 × 110.30
  4. Step 4: Simplify right side
    130.81x = 21,540.01
  5. Step 5: Solve for x
    x = 21,540.01/130.81
  6. Step 6: Final answer
    x = 164.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.