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Finding the Fourth Proportional to 73.85, 109.95 and 72.96

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Solution

The fourth proportional to 73.85, 109.95 and 72.96 is: 108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.85 : 109.95 = 72.96 : x
  2. Step 2: Convert to fraction form
    73.85/109.95 = 72.96/x
  3. Step 3: Cross multiply
    73.85x = 109.95 × 72.96
  4. Step 4: Simplify right side
    73.85x = 8,021.95
  5. Step 5: Solve for x
    x = 8,021.95/73.85
  6. Step 6: Final answer
    x = 108.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.