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Finding the Fourth Proportional to 117.05, 160.79 and 100.44

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Solution

The fourth proportional to 117.05, 160.79 and 100.44 is: 137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.05 : 160.79 = 100.44 : x
  2. Step 2: Convert to fraction form
    117.05/160.79 = 100.44/x
  3. Step 3: Cross multiply
    117.05x = 160.79 × 100.44
  4. Step 4: Simplify right side
    117.05x = 16,149.25
  5. Step 5: Solve for x
    x = 16,149.25/117.05
  6. Step 6: Final answer
    x = 137.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.