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Finding the Fourth Proportional to 102.81, 141.71 and 82.02

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Solution

The fourth proportional to 102.81, 141.71 and 82.02 is: 113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.81 : 141.71 = 82.02 : x
  2. Step 2: Convert to fraction form
    102.81/141.71 = 82.02/x
  3. Step 3: Cross multiply
    102.81x = 141.71 × 82.02
  4. Step 4: Simplify right side
    102.81x = 11,622.64
  5. Step 5: Solve for x
    x = 11,622.64/102.81
  6. Step 6: Final answer
    x = 113.05

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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.