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Finding the Fourth Proportional to 102.74, 141.85 and 76.49

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Solution

The fourth proportional to 102.74, 141.85 and 76.49 is: 105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.74 : 141.85 = 76.49 : x
  2. Step 2: Convert to fraction form
    102.74/141.85 = 76.49/x
  3. Step 3: Cross multiply
    102.74x = 141.85 × 76.49
  4. Step 4: Simplify right side
    102.74x = 10,849.01
  5. Step 5: Solve for x
    x = 10,849.01/102.74
  6. Step 6: Final answer
    x = 105.60

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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.