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Finding the Fourth Proportional to 103.48, 142.71 and 82.87

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Solution

The fourth proportional to 103.48, 142.71 and 82.87 is: 114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.48 : 142.71 = 82.87 : x
  2. Step 2: Convert to fraction form
    103.48/142.71 = 82.87/x
  3. Step 3: Cross multiply
    103.48x = 142.71 × 82.87
  4. Step 4: Simplify right side
    103.48x = 11,826.98
  5. Step 5: Solve for x
    x = 11,826.98/103.48
  6. Step 6: Final answer
    x = 114.30

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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.