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Finding the Fourth Proportional to 107.64, 161.52 and 67.20

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Solution

The fourth proportional to 107.64, 161.52 and 67.20 is: 100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.64 : 161.52 = 67.20 : x
  2. Step 2: Convert to fraction form
    107.64/161.52 = 67.20/x
  3. Step 3: Cross multiply
    107.64x = 161.52 × 67.20
  4. Step 4: Simplify right side
    107.64x = 10,854.14
  5. Step 5: Solve for x
    x = 10,854.14/107.64
  6. Step 6: Final answer
    x = 100.84

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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.