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Finding the Fourth Proportional to 128.82, 193.05 and 112.53

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Solution

The fourth proportional to 128.82, 193.05 and 112.53 is: 168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.82 : 193.05 = 112.53 : x
  2. Step 2: Convert to fraction form
    128.82/193.05 = 112.53/x
  3. Step 3: Cross multiply
    128.82x = 193.05 × 112.53
  4. Step 4: Simplify right side
    128.82x = 21,722.95
  5. Step 5: Solve for x
    x = 21,722.95/128.82
  6. Step 6: Final answer
    x = 168.64

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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.