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Finding the Fourth Proportional to 102.61, 141.69 and 82

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Solution

The fourth proportional to 102.61, 141.69 and 82 is: 113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.61 : 141.69 = 82 : x
  2. Step 2: Convert to fraction form
    102.61/141.69 = 82/x
  3. Step 3: Cross multiply
    102.61x = 141.69 × 82
  4. Step 4: Simplify right side
    102.61x = 11,618.58
  5. Step 5: Solve for x
    x = 11,618.58/102.61
  6. Step 6: Final answer
    x = 113.23

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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.