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Finding the Fourth Proportional to 85.44, 117.98 and 52.71

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Solution

The fourth proportional to 85.44, 117.98 and 52.71 is: 72.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.44 : 117.98 = 52.71 : x
  2. Step 2: Convert to fraction form
    85.44/117.98 = 52.71/x
  3. Step 3: Cross multiply
    85.44x = 117.98 × 52.71
  4. Step 4: Simplify right side
    85.44x = 6,218.73
  5. Step 5: Solve for x
    x = 6,218.73/85.44
  6. Step 6: Final answer
    x = 72.78

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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.