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Finding the Fourth Proportional to 85.74, 118.82 and 69.54

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Solution

The fourth proportional to 85.74, 118.82 and 69.54 is: 96.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.74 : 118.82 = 69.54 : x
  2. Step 2: Convert to fraction form
    85.74/118.82 = 69.54/x
  3. Step 3: Cross multiply
    85.74x = 118.82 × 69.54
  4. Step 4: Simplify right side
    85.74x = 8,262.40
  5. Step 5: Solve for x
    x = 8,262.40/85.74
  6. Step 6: Final answer
    x = 96.37

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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.