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Finding the Fourth Proportional to 126.72, 174.96 and 99.20

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Solution

The fourth proportional to 126.72, 174.96 and 99.20 is: 136.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.72 : 174.96 = 99.20 : x
  2. Step 2: Convert to fraction form
    126.72/174.96 = 99.20/x
  3. Step 3: Cross multiply
    126.72x = 174.96 × 99.20
  4. Step 4: Simplify right side
    126.72x = 17,356.03
  5. Step 5: Solve for x
    x = 17,356.03/126.72
  6. Step 6: Final answer
    x = 136.96

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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.