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Finding the Fourth Proportional to 193.53, 267.12 and 123.63

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Solution

The fourth proportional to 193.53, 267.12 and 123.63 is: 170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.53 : 267.12 = 123.63 : x
  2. Step 2: Convert to fraction form
    193.53/267.12 = 123.63/x
  3. Step 3: Cross multiply
    193.53x = 267.12 × 123.63
  4. Step 4: Simplify right side
    193.53x = 33,024.05
  5. Step 5: Solve for x
    x = 33,024.05/193.53
  6. Step 6: Final answer
    x = 170.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.