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Finding the Fourth Proportional to 85.67, 117.99 and 67.21

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Solution

The fourth proportional to 85.67, 117.99 and 67.21 is: 92.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.67 : 117.99 = 67.21 : x
  2. Step 2: Convert to fraction form
    85.67/117.99 = 67.21/x
  3. Step 3: Cross multiply
    85.67x = 117.99 × 67.21
  4. Step 4: Simplify right side
    85.67x = 7,929.81
  5. Step 5: Solve for x
    x = 7,929.81/85.67
  6. Step 6: Final answer
    x = 92.57

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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.