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Finding the Fourth Proportional to 104.69, 144.51 and 72.11

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Solution

The fourth proportional to 104.69, 144.51 and 72.11 is: 99.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.69 : 144.51 = 72.11 : x
  2. Step 2: Convert to fraction form
    104.69/144.51 = 72.11/x
  3. Step 3: Cross multiply
    104.69x = 144.51 × 72.11
  4. Step 4: Simplify right side
    104.69x = 10,420.62
  5. Step 5: Solve for x
    x = 10,420.62/104.69
  6. Step 6: Final answer
    x = 99.54

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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.