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Finding the Fourth Proportional to 113.36, 170.02 and 107.43

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Solution

The fourth proportional to 113.36, 170.02 and 107.43 is: 161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.36 : 170.02 = 107.43 : x
  2. Step 2: Convert to fraction form
    113.36/170.02 = 107.43/x
  3. Step 3: Cross multiply
    113.36x = 170.02 × 107.43
  4. Step 4: Simplify right side
    113.36x = 18,264.75
  5. Step 5: Solve for x
    x = 18,264.75/113.36
  6. Step 6: Final answer
    x = 161.13

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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.