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Finding the Fourth Proportional to 113.97, 170.94 and 32.81

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Solution

The fourth proportional to 113.97, 170.94 and 32.81 is: 49.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.97 : 170.94 = 32.81 : x
  2. Step 2: Convert to fraction form
    113.97/170.94 = 32.81/x
  3. Step 3: Cross multiply
    113.97x = 170.94 × 32.81
  4. Step 4: Simplify right side
    113.97x = 5,607.81
  5. Step 5: Solve for x
    x = 5,607.81/113.97
  6. Step 6: Final answer
    x = 49.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.