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Finding the Fourth Proportional to 103.70, 154.96 and 74.68

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Solution

The fourth proportional to 103.70, 154.96 and 74.68 is: 111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.70 : 154.96 = 74.68 : x
  2. Step 2: Convert to fraction form
    103.70/154.96 = 74.68/x
  3. Step 3: Cross multiply
    103.70x = 154.96 × 74.68
  4. Step 4: Simplify right side
    103.70x = 11,571.64
  5. Step 5: Solve for x
    x = 11,571.64/103.70
  6. Step 6: Final answer
    x = 111.59

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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.