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Finding the Fourth Proportional to 68.90, 103.41 and 53.64

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Solution

The fourth proportional to 68.90, 103.41 and 53.64 is: 80.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.90 : 103.41 = 53.64 : x
  2. Step 2: Convert to fraction form
    68.90/103.41 = 53.64/x
  3. Step 3: Cross multiply
    68.90x = 103.41 × 53.64
  4. Step 4: Simplify right side
    68.90x = 5,546.91
  5. Step 5: Solve for x
    x = 5,546.91/68.90
  6. Step 6: Final answer
    x = 80.51

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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.