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Finding the Fourth Proportional to 107.62, 161.48 and 53.51

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Solution

The fourth proportional to 107.62, 161.48 and 53.51 is: 80.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.62 : 161.48 = 53.51 : x
  2. Step 2: Convert to fraction form
    107.62/161.48 = 53.51/x
  3. Step 3: Cross multiply
    107.62x = 161.48 × 53.51
  4. Step 4: Simplify right side
    107.62x = 8,640.12
  5. Step 5: Solve for x
    x = 8,640.12/107.62
  6. Step 6: Final answer
    x = 80.29

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Why These Related Problems?

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