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Finding the Fourth Proportional to 107.17, 146.84 and 105.65

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Solution

The fourth proportional to 107.17, 146.84 and 105.65 is: 144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.17 : 146.84 = 105.65 : x
  2. Step 2: Convert to fraction form
    107.17/146.84 = 105.65/x
  3. Step 3: Cross multiply
    107.17x = 146.84 × 105.65
  4. Step 4: Simplify right side
    107.17x = 15,514.06
  5. Step 5: Solve for x
    x = 15,514.06/107.17
  6. Step 6: Final answer
    x = 144.76

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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.