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Finding the Fourth Proportional to 134.82, 185.85 and 105.66

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Solution

The fourth proportional to 134.82, 185.85 and 105.66 is: 145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.82 : 185.85 = 105.66 : x
  2. Step 2: Convert to fraction form
    134.82/185.85 = 105.66/x
  3. Step 3: Cross multiply
    134.82x = 185.85 × 105.66
  4. Step 4: Simplify right side
    134.82x = 19,636.91
  5. Step 5: Solve for x
    x = 19,636.91/134.82
  6. Step 6: Final answer
    x = 145.65

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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.