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Finding the Fourth Proportional to 103.12, 154.57 and 51.66

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Solution

The fourth proportional to 103.12, 154.57 and 51.66 is: 77.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.12 : 154.57 = 51.66 : x
  2. Step 2: Convert to fraction form
    103.12/154.57 = 51.66/x
  3. Step 3: Cross multiply
    103.12x = 154.57 × 51.66
  4. Step 4: Simplify right side
    103.12x = 7,984.96
  5. Step 5: Solve for x
    x = 7,984.96/103.12
  6. Step 6: Final answer
    x = 77.43

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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.