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Finding the Fourth Proportional to 102.24, 140.97 and 85.84

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Solution

The fourth proportional to 102.24, 140.97 and 85.84 is: 118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.24 : 140.97 = 85.84 : x
  2. Step 2: Convert to fraction form
    102.24/140.97 = 85.84/x
  3. Step 3: Cross multiply
    102.24x = 140.97 × 85.84
  4. Step 4: Simplify right side
    102.24x = 12,100.86
  5. Step 5: Solve for x
    x = 12,100.86/102.24
  6. Step 6: Final answer
    x = 118.36

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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.