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Finding the Fourth Proportional to 128.40, 193.14 and 110.22

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Solution

The fourth proportional to 128.40, 193.14 and 110.22 is: 165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.40 : 193.14 = 110.22 : x
  2. Step 2: Convert to fraction form
    128.40/193.14 = 110.22/x
  3. Step 3: Cross multiply
    128.40x = 193.14 × 110.22
  4. Step 4: Simplify right side
    128.40x = 21,287.89
  5. Step 5: Solve for x
    x = 21,287.89/128.40
  6. Step 6: Final answer
    x = 165.79

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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.