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Finding the Fourth Proportional to 102.67, 140.94 and 88.09

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Solution

The fourth proportional to 102.67, 140.94 and 88.09 is: 120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.67 : 140.94 = 88.09 : x
  2. Step 2: Convert to fraction form
    102.67/140.94 = 88.09/x
  3. Step 3: Cross multiply
    102.67x = 140.94 × 88.09
  4. Step 4: Simplify right side
    102.67x = 12,415.05
  5. Step 5: Solve for x
    x = 12,415.05/102.67
  6. Step 6: Final answer
    x = 120.92

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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.