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Finding the Fourth Proportional to 107.66, 161.56 and 75.09

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Solution

The fourth proportional to 107.66, 161.56 and 75.09 is: 112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.66 : 161.56 = 75.09 : x
  2. Step 2: Convert to fraction form
    107.66/161.56 = 75.09/x
  3. Step 3: Cross multiply
    107.66x = 161.56 × 75.09
  4. Step 4: Simplify right side
    107.66x = 12,132.24
  5. Step 5: Solve for x
    x = 12,132.24/107.66
  6. Step 6: Final answer
    x = 112.69

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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.