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Finding the Fourth Proportional to 102.07, 140.81 and 81.30

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Solution

The fourth proportional to 102.07, 140.81 and 81.30 is: 112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.07 : 140.81 = 81.30 : x
  2. Step 2: Convert to fraction form
    102.07/140.81 = 81.30/x
  3. Step 3: Cross multiply
    102.07x = 140.81 × 81.30
  4. Step 4: Simplify right side
    102.07x = 11,447.85
  5. Step 5: Solve for x
    x = 11,447.85/102.07
  6. Step 6: Final answer
    x = 112.16

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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.