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Finding the Fourth Proportional to 103.20, 154.06 and 96.09

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Solution

The fourth proportional to 103.20, 154.06 and 96.09 is: 143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.20 : 154.06 = 96.09 : x
  2. Step 2: Convert to fraction form
    103.20/154.06 = 96.09/x
  3. Step 3: Cross multiply
    103.20x = 154.06 × 96.09
  4. Step 4: Simplify right side
    103.20x = 14,803.63
  5. Step 5: Solve for x
    x = 14,803.63/103.20
  6. Step 6: Final answer
    x = 143.45

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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.