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Finding the Fourth Proportional to 107.09, 160.66 and 45.37

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Solution

The fourth proportional to 107.09, 160.66 and 45.37 is: 68.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.09 : 160.66 = 45.37 : x
  2. Step 2: Convert to fraction form
    107.09/160.66 = 45.37/x
  3. Step 3: Cross multiply
    107.09x = 160.66 × 45.37
  4. Step 4: Simplify right side
    107.09x = 7,289.14
  5. Step 5: Solve for x
    x = 7,289.14/107.09
  6. Step 6: Final answer
    x = 68.07

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