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Finding the Fourth Proportional to 102.59, 141.37 and 84.05

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Solution

The fourth proportional to 102.59, 141.37 and 84.05 is: 115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.59 : 141.37 = 84.05 : x
  2. Step 2: Convert to fraction form
    102.59/141.37 = 84.05/x
  3. Step 3: Cross multiply
    102.59x = 141.37 × 84.05
  4. Step 4: Simplify right side
    102.59x = 11,882.15
  5. Step 5: Solve for x
    x = 11,882.15/102.59
  6. Step 6: Final answer
    x = 115.82

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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.