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Finding the Fourth Proportional to 102.26, 141.05 and 74.57

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Solution

The fourth proportional to 102.26, 141.05 and 74.57 is: 102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.26 : 141.05 = 74.57 : x
  2. Step 2: Convert to fraction form
    102.26/141.05 = 74.57/x
  3. Step 3: Cross multiply
    102.26x = 141.05 × 74.57
  4. Step 4: Simplify right side
    102.26x = 10,517.58
  5. Step 5: Solve for x
    x = 10,517.58/102.26
  6. Step 6: Final answer
    x = 102.86

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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.