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Finding the Fourth Proportional to 107.58, 161.32 and 76.71

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Solution

The fourth proportional to 107.58, 161.32 and 76.71 is: 115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.58 : 161.32 = 76.71 : x
  2. Step 2: Convert to fraction form
    107.58/161.32 = 76.71/x
  3. Step 3: Cross multiply
    107.58x = 161.32 × 76.71
  4. Step 4: Simplify right side
    107.58x = 12,374.88
  5. Step 5: Solve for x
    x = 12,374.88/107.58
  6. Step 6: Final answer
    x = 115.03

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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.