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Finding the Fourth Proportional to 107.51, 161.19 and 61.25

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Solution

The fourth proportional to 107.51, 161.19 and 61.25 is: 91.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.51 : 161.19 = 61.25 : x
  2. Step 2: Convert to fraction form
    107.51/161.19 = 61.25/x
  3. Step 3: Cross multiply
    107.51x = 161.19 × 61.25
  4. Step 4: Simplify right side
    107.51x = 9,872.08
  5. Step 5: Solve for x
    x = 9,872.08/107.51
  6. Step 6: Final answer
    x = 91.83

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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.