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Finding the Fourth Proportional to 126.34, 174.41 and 98.66

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Solution

The fourth proportional to 126.34, 174.41 and 98.66 is: 136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.34 : 174.41 = 98.66 : x
  2. Step 2: Convert to fraction form
    126.34/174.41 = 98.66/x
  3. Step 3: Cross multiply
    126.34x = 174.41 × 98.66
  4. Step 4: Simplify right side
    126.34x = 17,207.29
  5. Step 5: Solve for x
    x = 17,207.29/126.34
  6. Step 6: Final answer
    x = 136.20

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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.