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Finding the Fourth Proportional to 103.03, 154.44 and 84.80

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Solution

The fourth proportional to 103.03, 154.44 and 84.80 is: 127.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.03 : 154.44 = 84.80 : x
  2. Step 2: Convert to fraction form
    103.03/154.44 = 84.80/x
  3. Step 3: Cross multiply
    103.03x = 154.44 × 84.80
  4. Step 4: Simplify right side
    103.03x = 13,096.51
  5. Step 5: Solve for x
    x = 13,096.51/103.03
  6. Step 6: Final answer
    x = 127.12

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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.