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Finding the Fourth Proportional to 107.56, 161.41 and 46.71

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Solution

The fourth proportional to 107.56, 161.41 and 46.71 is: 70.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.56 : 161.41 = 46.71 : x
  2. Step 2: Convert to fraction form
    107.56/161.41 = 46.71/x
  3. Step 3: Cross multiply
    107.56x = 161.41 × 46.71
  4. Step 4: Simplify right side
    107.56x = 7,539.43
  5. Step 5: Solve for x
    x = 7,539.43/107.56
  6. Step 6: Final answer
    x = 70.09

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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.