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Finding the Fourth Proportional to 129.78, 193.74 and 110.31

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Solution

The fourth proportional to 129.78, 193.74 and 110.31 is: 164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.78 : 193.74 = 110.31 : x
  2. Step 2: Convert to fraction form
    129.78/193.74 = 110.31/x
  3. Step 3: Cross multiply
    129.78x = 193.74 × 110.31
  4. Step 4: Simplify right side
    129.78x = 21,372.03
  5. Step 5: Solve for x
    x = 21,372.03/129.78
  6. Step 6: Final answer
    x = 164.68

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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.