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Finding the Fourth Proportional to 103.05, 142.13 and 84.60

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Solution

The fourth proportional to 103.05, 142.13 and 84.60 is: 116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.05 : 142.13 = 84.60 : x
  2. Step 2: Convert to fraction form
    103.05/142.13 = 84.60/x
  3. Step 3: Cross multiply
    103.05x = 142.13 × 84.60
  4. Step 4: Simplify right side
    103.05x = 12,023.78
  5. Step 5: Solve for x
    x = 12,023.78/103.05
  6. Step 6: Final answer
    x = 116.68

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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.