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Finding the Fourth Proportional to 103.38, 154.95 and 48.48

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Solution

The fourth proportional to 103.38, 154.95 and 48.48 is: 72.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.38 : 154.95 = 48.48 : x
  2. Step 2: Convert to fraction form
    103.38/154.95 = 48.48/x
  3. Step 3: Cross multiply
    103.38x = 154.95 × 48.48
  4. Step 4: Simplify right side
    103.38x = 7,511.20
  5. Step 5: Solve for x
    x = 7,511.20/103.38
  6. Step 6: Final answer
    x = 72.66

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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.