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Finding the Fourth Proportional to 104.67, 142.61 and 102.44

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Solution

The fourth proportional to 104.67, 142.61 and 102.44 is: 139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.67 : 142.61 = 102.44 : x
  2. Step 2: Convert to fraction form
    104.67/142.61 = 102.44/x
  3. Step 3: Cross multiply
    104.67x = 142.61 × 102.44
  4. Step 4: Simplify right side
    104.67x = 14,608.81
  5. Step 5: Solve for x
    x = 14,608.81/104.67
  6. Step 6: Final answer
    x = 139.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.