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Finding the Fourth Proportional to 102.49, 141.39 and 71.43

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Solution

The fourth proportional to 102.49, 141.39 and 71.43 is: 98.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.49 : 141.39 = 71.43 : x
  2. Step 2: Convert to fraction form
    102.49/141.39 = 71.43/x
  3. Step 3: Cross multiply
    102.49x = 141.39 × 71.43
  4. Step 4: Simplify right side
    102.49x = 10,099.48
  5. Step 5: Solve for x
    x = 10,099.48/102.49
  6. Step 6: Final answer
    x = 98.54

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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.