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Finding the Fourth Proportional to 103.18, 142.23 and 81.31

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Solution

The fourth proportional to 103.18, 142.23 and 81.31 is: 112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.18 : 142.23 = 81.31 : x
  2. Step 2: Convert to fraction form
    103.18/142.23 = 81.31/x
  3. Step 3: Cross multiply
    103.18x = 142.23 × 81.31
  4. Step 4: Simplify right side
    103.18x = 11,564.72
  5. Step 5: Solve for x
    x = 11,564.72/103.18
  6. Step 6: Final answer
    x = 112.08

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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.