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Finding the Fourth Proportional to 102.11, 140.67 and 86.56

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Solution

The fourth proportional to 102.11, 140.67 and 86.56 is: 119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.11 : 140.67 = 86.56 : x
  2. Step 2: Convert to fraction form
    102.11/140.67 = 86.56/x
  3. Step 3: Cross multiply
    102.11x = 140.67 × 86.56
  4. Step 4: Simplify right side
    102.11x = 12,176.04
  5. Step 5: Solve for x
    x = 12,176.04/102.11
  6. Step 6: Final answer
    x = 119.25

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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.