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Finding the Fourth Proportional to 111.84, 154.45 and 76.96

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Solution

The fourth proportional to 111.84, 154.45 and 76.96 is: 106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.84 : 154.45 = 76.96 : x
  2. Step 2: Convert to fraction form
    111.84/154.45 = 76.96/x
  3. Step 3: Cross multiply
    111.84x = 154.45 × 76.96
  4. Step 4: Simplify right side
    111.84x = 11,885.70
  5. Step 5: Solve for x
    x = 11,885.70/111.84
  6. Step 6: Final answer
    x = 106.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.