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Finding the Fourth Proportional to 85.03, 117.47 and 82.47

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Solution

The fourth proportional to 85.03, 117.47 and 82.47 is: 113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.03 : 117.47 = 82.47 : x
  2. Step 2: Convert to fraction form
    85.03/117.47 = 82.47/x
  3. Step 3: Cross multiply
    85.03x = 117.47 × 82.47
  4. Step 4: Simplify right side
    85.03x = 9,687.75
  5. Step 5: Solve for x
    x = 9,687.75/85.03
  6. Step 6: Final answer
    x = 113.93

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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.