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Finding the Fourth Proportional to 68.97, 103.38 and 27.81

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Solution

The fourth proportional to 68.97, 103.38 and 27.81 is: 41.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.97 : 103.38 = 27.81 : x
  2. Step 2: Convert to fraction form
    68.97/103.38 = 27.81/x
  3. Step 3: Cross multiply
    68.97x = 103.38 × 27.81
  4. Step 4: Simplify right side
    68.97x = 2,875.13
  5. Step 5: Solve for x
    x = 2,875.13/68.97
  6. Step 6: Final answer
    x = 41.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.