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Finding the Fourth Proportional to 85.13, 116.96 and 69.54

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Solution

The fourth proportional to 85.13, 116.96 and 69.54 is: 95.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.13 : 116.96 = 69.54 : x
  2. Step 2: Convert to fraction form
    85.13/116.96 = 69.54/x
  3. Step 3: Cross multiply
    85.13x = 116.96 × 69.54
  4. Step 4: Simplify right side
    85.13x = 8,133.57
  5. Step 5: Solve for x
    x = 8,133.57/85.13
  6. Step 6: Final answer
    x = 95.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.