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Finding the Fourth Proportional to 69.35, 103.82 and 53.06

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Solution

The fourth proportional to 69.35, 103.82 and 53.06 is: 79.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.35 : 103.82 = 53.06 : x
  2. Step 2: Convert to fraction form
    69.35/103.82 = 53.06/x
  3. Step 3: Cross multiply
    69.35x = 103.82 × 53.06
  4. Step 4: Simplify right side
    69.35x = 5,507.90
  5. Step 5: Solve for x
    x = 5,507.90/69.35
  6. Step 6: Final answer
    x = 79.43

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