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Finding the Fourth Proportional to 130.74, 196.10 and 110.49

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Solution

The fourth proportional to 130.74, 196.10 and 110.49 is: 165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.74 : 196.10 = 110.49 : x
  2. Step 2: Convert to fraction form
    130.74/196.10 = 110.49/x
  3. Step 3: Cross multiply
    130.74x = 196.10 × 110.49
  4. Step 4: Simplify right side
    130.74x = 21,667.09
  5. Step 5: Solve for x
    x = 21,667.09/130.74
  6. Step 6: Final answer
    x = 165.73

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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.