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Finding the Fourth Proportional to 103.38, 154.74 and 72.85

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Solution

The fourth proportional to 103.38, 154.74 and 72.85 is: 109.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.38 : 154.74 = 72.85 : x
  2. Step 2: Convert to fraction form
    103.38/154.74 = 72.85/x
  3. Step 3: Cross multiply
    103.38x = 154.74 × 72.85
  4. Step 4: Simplify right side
    103.38x = 11,272.81
  5. Step 5: Solve for x
    x = 11,272.81/103.38
  6. Step 6: Final answer
    x = 109.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.