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Finding the Fourth Proportional to 84.10, 116.56 and 76

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Solution

The fourth proportional to 84.10, 116.56 and 76 is: 105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.10 : 116.56 = 76 : x
  2. Step 2: Convert to fraction form
    84.10/116.56 = 76/x
  3. Step 3: Cross multiply
    84.10x = 116.56 × 76
  4. Step 4: Simplify right side
    84.10x = 8,858.56
  5. Step 5: Solve for x
    x = 8,858.56/84.10
  6. Step 6: Final answer
    x = 105.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.