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Finding the Fourth Proportional to 193.93, 267.54 and 120.12

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Solution

The fourth proportional to 193.93, 267.54 and 120.12 is: 165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.93 : 267.54 = 120.12 : x
  2. Step 2: Convert to fraction form
    193.93/267.54 = 120.12/x
  3. Step 3: Cross multiply
    193.93x = 267.54 × 120.12
  4. Step 4: Simplify right side
    193.93x = 32,136.90
  5. Step 5: Solve for x
    x = 32,136.90/193.93
  6. Step 6: Final answer
    x = 165.72

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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.