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Finding the Fourth Proportional to 103.69, 143.05 and 66.79

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Solution

The fourth proportional to 103.69, 143.05 and 66.79 is: 92.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.69 : 143.05 = 66.79 : x
  2. Step 2: Convert to fraction form
    103.69/143.05 = 66.79/x
  3. Step 3: Cross multiply
    103.69x = 143.05 × 66.79
  4. Step 4: Simplify right side
    103.69x = 9,554.31
  5. Step 5: Solve for x
    x = 9,554.31/103.69
  6. Step 6: Final answer
    x = 92.14

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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.