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Finding the Fourth Proportional to 102.73, 141.76 and 76.50

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Solution

The fourth proportional to 102.73, 141.76 and 76.50 is: 105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.73 : 141.76 = 76.50 : x
  2. Step 2: Convert to fraction form
    102.73/141.76 = 76.50/x
  3. Step 3: Cross multiply
    102.73x = 141.76 × 76.50
  4. Step 4: Simplify right side
    102.73x = 10,844.64
  5. Step 5: Solve for x
    x = 10,844.64/102.73
  6. Step 6: Final answer
    x = 105.56

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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.