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Finding the Fourth Proportional to 107.52, 149.20 and 104.96

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Solution

The fourth proportional to 107.52, 149.20 and 104.96 is: 145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.52 : 149.20 = 104.96 : x
  2. Step 2: Convert to fraction form
    107.52/149.20 = 104.96/x
  3. Step 3: Cross multiply
    107.52x = 149.20 × 104.96
  4. Step 4: Simplify right side
    107.52x = 15,660.03
  5. Step 5: Solve for x
    x = 15,660.03/107.52
  6. Step 6: Final answer
    x = 145.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.