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Finding the Fourth Proportional to 102.33, 140.75 and 85.73

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Solution

The fourth proportional to 102.33, 140.75 and 85.73 is: 117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.33 : 140.75 = 85.73 : x
  2. Step 2: Convert to fraction form
    102.33/140.75 = 85.73/x
  3. Step 3: Cross multiply
    102.33x = 140.75 × 85.73
  4. Step 4: Simplify right side
    102.33x = 12,065.37
  5. Step 5: Solve for x
    x = 12,065.37/102.33
  6. Step 6: Final answer
    x = 117.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.