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Finding the Fourth Proportional to 103.67, 141.80 and 102.08

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Solution

The fourth proportional to 103.67, 141.80 and 102.08 is: 139.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.67 : 141.80 = 102.08 : x
  2. Step 2: Convert to fraction form
    103.67/141.80 = 102.08/x
  3. Step 3: Cross multiply
    103.67x = 141.80 × 102.08
  4. Step 4: Simplify right side
    103.67x = 14,474.94
  5. Step 5: Solve for x
    x = 14,474.94/103.67
  6. Step 6: Final answer
    x = 139.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.