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Finding the Fourth Proportional to 107.20, 146.88 and 106.72

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Solution

The fourth proportional to 107.20, 146.88 and 106.72 is: 146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.20 : 146.88 = 106.72 : x
  2. Step 2: Convert to fraction form
    107.20/146.88 = 106.72/x
  3. Step 3: Cross multiply
    107.20x = 146.88 × 106.72
  4. Step 4: Simplify right side
    107.20x = 15,675.03
  5. Step 5: Solve for x
    x = 15,675.03/107.20
  6. Step 6: Final answer
    x = 146.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.