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Finding the Fourth Proportional to 107.28, 160.80 and 75.16

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Solution

The fourth proportional to 107.28, 160.80 and 75.16 is: 112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.28 : 160.80 = 75.16 : x
  2. Step 2: Convert to fraction form
    107.28/160.80 = 75.16/x
  3. Step 3: Cross multiply
    107.28x = 160.80 × 75.16
  4. Step 4: Simplify right side
    107.28x = 12,085.73
  5. Step 5: Solve for x
    x = 12,085.73/107.28
  6. Step 6: Final answer
    x = 112.66

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Why These Related Problems?

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