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Finding the Fourth Proportional to 73.54, 109.66 and 69.49

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Solution

The fourth proportional to 73.54, 109.66 and 69.49 is: 103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.54 : 109.66 = 69.49 : x
  2. Step 2: Convert to fraction form
    73.54/109.66 = 69.49/x
  3. Step 3: Cross multiply
    73.54x = 109.66 × 69.49
  4. Step 4: Simplify right side
    73.54x = 7,620.37
  5. Step 5: Solve for x
    x = 7,620.37/73.54
  6. Step 6: Final answer
    x = 103.63

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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.