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Finding the Fourth Proportional to 102.69, 141.73 and 84.47

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Solution

The fourth proportional to 102.69, 141.73 and 84.47 is: 116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.69 : 141.73 = 84.47 : x
  2. Step 2: Convert to fraction form
    102.69/141.73 = 84.47/x
  3. Step 3: Cross multiply
    102.69x = 141.73 × 84.47
  4. Step 4: Simplify right side
    102.69x = 11,971.01
  5. Step 5: Solve for x
    x = 11,971.01/102.69
  6. Step 6: Final answer
    x = 116.57

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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.