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Finding the Fourth Proportional to 85.71, 118.26 and 66.36

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Solution

The fourth proportional to 85.71, 118.26 and 66.36 is: 91.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.71 : 118.26 = 66.36 : x
  2. Step 2: Convert to fraction form
    85.71/118.26 = 66.36/x
  3. Step 3: Cross multiply
    85.71x = 118.26 × 66.36
  4. Step 4: Simplify right side
    85.71x = 7,847.73
  5. Step 5: Solve for x
    x = 7,847.73/85.71
  6. Step 6: Final answer
    x = 91.56

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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.