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Finding the Fourth Proportional to 129.75, 193.69 and 110.16

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Solution

The fourth proportional to 129.75, 193.69 and 110.16 is: 164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.75 : 193.69 = 110.16 : x
  2. Step 2: Convert to fraction form
    129.75/193.69 = 110.16/x
  3. Step 3: Cross multiply
    129.75x = 193.69 × 110.16
  4. Step 4: Simplify right side
    129.75x = 21,337.03
  5. Step 5: Solve for x
    x = 21,337.03/129.75
  6. Step 6: Final answer
    x = 164.44

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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.