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Finding the Fourth Proportional to 105.52, 145.38 and 83.65

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Solution

The fourth proportional to 105.52, 145.38 and 83.65 is: 115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.52 : 145.38 = 83.65 : x
  2. Step 2: Convert to fraction form
    105.52/145.38 = 83.65/x
  3. Step 3: Cross multiply
    105.52x = 145.38 × 83.65
  4. Step 4: Simplify right side
    105.52x = 12,161.04
  5. Step 5: Solve for x
    x = 12,161.04/105.52
  6. Step 6: Final answer
    x = 115.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.