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Finding the Fourth Proportional to 107.27, 160.03 and 103.63

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Solution

The fourth proportional to 107.27, 160.03 and 103.63 is: 154.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.27 : 160.03 = 103.63 : x
  2. Step 2: Convert to fraction form
    107.27/160.03 = 103.63/x
  3. Step 3: Cross multiply
    107.27x = 160.03 × 103.63
  4. Step 4: Simplify right side
    107.27x = 16,583.91
  5. Step 5: Solve for x
    x = 16,583.91/107.27
  6. Step 6: Final answer
    x = 154.60

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Why These Related Problems?

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