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Finding the Fourth Proportional to 102.67, 141.70 and 84.29

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Solution

The fourth proportional to 102.67, 141.70 and 84.29 is: 116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.67 : 141.70 = 84.29 : x
  2. Step 2: Convert to fraction form
    102.67/141.70 = 84.29/x
  3. Step 3: Cross multiply
    102.67x = 141.70 × 84.29
  4. Step 4: Simplify right side
    102.67x = 11,943.93
  5. Step 5: Solve for x
    x = 11,943.93/102.67
  6. Step 6: Final answer
    x = 116.34

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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.