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Finding the Fourth Proportional to 126.96, 174.92 and 99.42

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Solution

The fourth proportional to 126.96, 174.92 and 99.42 is: 136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.96 : 174.92 = 99.42 : x
  2. Step 2: Convert to fraction form
    126.96/174.92 = 99.42/x
  3. Step 3: Cross multiply
    126.96x = 174.92 × 99.42
  4. Step 4: Simplify right side
    126.96x = 17,390.55
  5. Step 5: Solve for x
    x = 17,390.55/126.96
  6. Step 6: Final answer
    x = 136.98

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