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Finding the Fourth Proportional to 103.12, 153.95 and 80.17

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Solution

The fourth proportional to 103.12, 153.95 and 80.17 is: 119.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.12 : 153.95 = 80.17 : x
  2. Step 2: Convert to fraction form
    103.12/153.95 = 80.17/x
  3. Step 3: Cross multiply
    103.12x = 153.95 × 80.17
  4. Step 4: Simplify right side
    103.12x = 12,342.17
  5. Step 5: Solve for x
    x = 12,342.17/103.12
  6. Step 6: Final answer
    x = 119.69

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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.