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Finding the Fourth Proportional to 107.34, 161.62 and 93.97

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Solution

The fourth proportional to 107.34, 161.62 and 93.97 is: 141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.34 : 161.62 = 93.97 : x
  2. Step 2: Convert to fraction form
    107.34/161.62 = 93.97/x
  3. Step 3: Cross multiply
    107.34x = 161.62 × 93.97
  4. Step 4: Simplify right side
    107.34x = 15,187.43
  5. Step 5: Solve for x
    x = 15,187.43/107.34
  6. Step 6: Final answer
    x = 141.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.