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Finding the Fourth Proportional to 102.41, 141.41 and 84.05

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Solution

The fourth proportional to 102.41, 141.41 and 84.05 is: 116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.41 : 141.41 = 84.05 : x
  2. Step 2: Convert to fraction form
    102.41/141.41 = 84.05/x
  3. Step 3: Cross multiply
    102.41x = 141.41 × 84.05
  4. Step 4: Simplify right side
    102.41x = 11,885.09
  5. Step 5: Solve for x
    x = 11,885.09/102.41
  6. Step 6: Final answer
    x = 116.05

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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.