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Finding the Fourth Proportional to 102.60, 140.90 and 86.20

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Solution

The fourth proportional to 102.60, 140.90 and 86.20 is: 118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.60 : 140.90 = 86.20 : x
  2. Step 2: Convert to fraction form
    102.60/140.90 = 86.20/x
  3. Step 3: Cross multiply
    102.60x = 140.90 × 86.20
  4. Step 4: Simplify right side
    102.60x = 12,144.80
  5. Step 5: Solve for x
    x = 12,144.80/102.60
  6. Step 6: Final answer
    x = 118.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.