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Finding the Fourth Proportional to 102.82, 142 and 89

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Solution

The fourth proportional to 102.82, 142 and 89 is: 122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.82 : 142 = 89 : x
  2. Step 2: Convert to fraction form
    102.82/142 = 89/x
  3. Step 3: Cross multiply
    102.82x = 142 × 89
  4. Step 4: Simplify right side
    102.82x = 12,638
  5. Step 5: Solve for x
    x = 12,638/102.82
  6. Step 6: Final answer
    x = 122.91

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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.