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Finding the Fourth Proportional to 107.63, 161.46 and 35.47

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Solution

The fourth proportional to 107.63, 161.46 and 35.47 is: 53.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.63 : 161.46 = 35.47 : x
  2. Step 2: Convert to fraction form
    107.63/161.46 = 35.47/x
  3. Step 3: Cross multiply
    107.63x = 161.46 × 35.47
  4. Step 4: Simplify right side
    107.63x = 5,726.99
  5. Step 5: Solve for x
    x = 5,726.99/107.63
  6. Step 6: Final answer
    x = 53.21

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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.