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Finding the Fourth Proportional to 102.12, 140.97 and 66.68

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Solution

The fourth proportional to 102.12, 140.97 and 66.68 is: 92.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.12 : 140.97 = 66.68 : x
  2. Step 2: Convert to fraction form
    102.12/140.97 = 66.68/x
  3. Step 3: Cross multiply
    102.12x = 140.97 × 66.68
  4. Step 4: Simplify right side
    102.12x = 9,399.17
  5. Step 5: Solve for x
    x = 9,399.17/102.12
  6. Step 6: Final answer
    x = 92.04

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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.