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Finding the Fourth Proportional to 107.28, 160.29 and 80.28

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Solution

The fourth proportional to 107.28, 160.29 and 80.28 is: 119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.28 : 160.29 = 80.28 : x
  2. Step 2: Convert to fraction form
    107.28/160.29 = 80.28/x
  3. Step 3: Cross multiply
    107.28x = 160.29 × 80.28
  4. Step 4: Simplify right side
    107.28x = 12,868.08
  5. Step 5: Solve for x
    x = 12,868.08/107.28
  6. Step 6: Final answer
    x = 119.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.