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Finding the Fourth Proportional to 107.17, 161.39 and 93.80

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Solution

The fourth proportional to 107.17, 161.39 and 93.80 is: 141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.17 : 161.39 = 93.80 : x
  2. Step 2: Convert to fraction form
    107.17/161.39 = 93.80/x
  3. Step 3: Cross multiply
    107.17x = 161.39 × 93.80
  4. Step 4: Simplify right side
    107.17x = 15,139.02
  5. Step 5: Solve for x
    x = 15,139.02/107.17
  6. Step 6: Final answer
    x = 141.27

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