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Finding the Fourth Proportional to 102.67, 141.68 and 59

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Solution

The fourth proportional to 102.67, 141.68 and 59 is: 81.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.67 : 141.68 = 59 : x
  2. Step 2: Convert to fraction form
    102.67/141.68 = 59/x
  3. Step 3: Cross multiply
    102.67x = 141.68 × 59
  4. Step 4: Simplify right side
    102.67x = 8,359.12
  5. Step 5: Solve for x
    x = 8,359.12/102.67
  6. Step 6: Final answer
    x = 81.42

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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.