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Finding the Fourth Proportional to 107.67, 160.72 and 100.38

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Solution

The fourth proportional to 107.67, 160.72 and 100.38 is: 149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.67 : 160.72 = 100.38 : x
  2. Step 2: Convert to fraction form
    107.67/160.72 = 100.38/x
  3. Step 3: Cross multiply
    107.67x = 160.72 × 100.38
  4. Step 4: Simplify right side
    107.67x = 16,132.27
  5. Step 5: Solve for x
    x = 16,132.27/107.67
  6. Step 6: Final answer
    x = 149.84

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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.