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Finding the Fourth Proportional to 105.65, 145.91 and 82.61

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Solution

The fourth proportional to 105.65, 145.91 and 82.61 is: 114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.65 : 145.91 = 82.61 : x
  2. Step 2: Convert to fraction form
    105.65/145.91 = 82.61/x
  3. Step 3: Cross multiply
    105.65x = 145.91 × 82.61
  4. Step 4: Simplify right side
    105.65x = 12,053.63
  5. Step 5: Solve for x
    x = 12,053.63/105.65
  6. Step 6: Final answer
    x = 114.09

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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.