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Finding the Fourth Proportional to 126.81, 174.94 and 83.13

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Solution

The fourth proportional to 126.81, 174.94 and 83.13 is: 114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.81 : 174.94 = 83.13 : x
  2. Step 2: Convert to fraction form
    126.81/174.94 = 83.13/x
  3. Step 3: Cross multiply
    126.81x = 174.94 × 83.13
  4. Step 4: Simplify right side
    126.81x = 14,542.76
  5. Step 5: Solve for x
    x = 14,542.76/126.81
  6. Step 6: Final answer
    x = 114.68

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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.