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Finding the Fourth Proportional to 107.57, 161.31 and 59.42

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Solution

The fourth proportional to 107.57, 161.31 and 59.42 is: 89.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.57 : 161.31 = 59.42 : x
  2. Step 2: Convert to fraction form
    107.57/161.31 = 59.42/x
  3. Step 3: Cross multiply
    107.57x = 161.31 × 59.42
  4. Step 4: Simplify right side
    107.57x = 9,585.04
  5. Step 5: Solve for x
    x = 9,585.04/107.57
  6. Step 6: Final answer
    x = 89.11

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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.